$\def\pm{{ ‰}} \def\pmf{{ ‰ \phantom.}} \def\pmm{{ ‰ \! ‰}} \def\pmmf{{ ‰ \! ‰ \phantom\%}} \DeclareMathOperator {\arcsec} {arcsec}$

## Integermania!

#### Zip 66210

The zip code 66210 corresponds to a portion of Overland Park, Kansas. Create each of the positive integers using two copies of 6, one copy of 2, one copy of 1, one copy of 0, and any standard operations. All five numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.

 20000 (2.2) $\dfrac{26 - 6}{0.1\%}$ Douglas Shamlin Jr., 1/17Highland, MD 20160 (3.2) $\dfrac{(6+2)!}{6^0+1}$ Thu Nguyen, 4/10Overland Park, KS 21960 (3.0) $6^2 \times 610$ Regina Hillman, 11/07Bucyrus, KS 23318 (3.0) $\dfrac{6^6}{2} - 10$ Melissa Heller, 12/08Overland Park, KS 23327 (3.0) $\dfrac{6^6}{2} - 1 + 0$ Luis Costa Sperb, 12/08Overland Park, KS 23328 (3.0) $\dfrac{6^6}{2^1} + 0$ Steve Barker, 3/03Stilwell, KS 23329 (3.0) $\dfrac{6^6}{2} + 1 + 0$ Luis Costa Sperb, 12/08Overland Park, KS 23338 (3.0) $\dfrac{6^6}{2} + 10$ Melissa Heller, 12/08Overland Park, KS 25920 (3.2) $6! \times 1 + 6^2 + 0$ Thu Nguyen, 4/10Overland Park, KS 27500 (2.2) $\dfrac{61 - 6}{0.2\%}$ Douglas Shamlin Jr., 1/17Highland, MD 27556 (3.0) $166^2 + 0$ Aimee Shupe, 7/09Lenexa, KS 32000 (2.2) $\dfrac{26 + 6}{0.1\%}$ Douglas Shamlin Jr., 1/17Highland, MD 32500 (2.2) $\dfrac{66 - 1}{0.2\%}$ Douglas Shamlin Jr., 1/17Highland, MD 33500 (2.2) $\dfrac{61 + 6}{0.2\%}$ Douglas Shamlin Jr., 1/17Highland, MD 36126 (2.0) $6021 \times 6$ Desteni Starin, 3/06Overland Park, KS 36720 (2.0) $612 \times 60$ Kimberly Grosdidier, 12/05Eudora, KS 36722 (2.0) $61 \times 602$ Douglas Shamlin Jr., 1/17Highland, MD 37260 (2.0) $6 \times 6210$ Lindsey Johnson, 12/05Overland Park, KS 37262 (2.0) $62 \times 601$ Melody Tarbox, 5/07Ottawa, KS 37820 (2.0) $620 \times 61$ Melody Tarbox, 5/07Ottawa, KS 43560 (3.0) $66^2 \times 10$ Katie Cooper, 11/04Stilwell, KS 45632 (3.0) $6^6 - 2^{10}$ Douglas Shamlin Jr., 1/17Highland, MD 46446 (3.0) $6^6 - 210$ Douglas Shamlin Jr., 1/17Highland, MD 46455 (3.0) $6^6 - 201$ Douglas Shamlin Jr., 1/17Highland, MD 46456 (3.2) $6^6 - \dfrac{2}{1\%} + 0$ Douglas Shamlin Jr., 1/17Highland, MD 46536 (3.0) $6^6 - 120$ Pierre LeGrange, 12/08Overland Park, KS 46554 (3.0) $6^6 - 102$ Douglas Shamlin Jr., 1/17Highland, MD 46556 (3.0) $6^6 - 10^2$ Douglas Shamlin Jr., 1/17Highland, MD 46605 (3.4) $6^6 - \dfrac{1}{2\%} - 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46606 (3.2) $6^6 - \dfrac{1}{2\%} + 0$ Douglas Shamlin Jr., 1/17Highland, MD 46607 (3.4) $6^6 - \dfrac{1}{2\%} + 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46635 (3.0) $6^6 - 21 + 0$ Seth Riddle, 10/08Manchester, England 46636 (3.0) $6^6 - 20 \times 1$ Douglas Shamlin Jr., 1/17Highland, MD 46637 (3.0) $6^6 - 20 + 1$ Pierre LeGrange, 12/08Overland Park, KS 46643 (3.2) $6^6 - 12 - 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46644 (3.0) $6^6 - 12 + 0$ Pierre LeGrange, 12/08Overland Park, KS 46645 (3.2) $6^6 - 12 + 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46648 (3.0) $6^6 - 10 + 2$ Douglas Shamlin Jr., 1/17Highland, MD 46651 (3.0) $6^6 - \dfrac{10}{2}$ Douglas Shamlin Jr., 1/17Highland, MD 46652 (3.2) $6^6 - 2 - 1 - 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46653 (3.0) $6^6 - 2 - 1 + 0$ Douglas Shamlin Jr., 1/17Highland, MD 46654 (3.0) $6^6 - 2 + 1 \times 0$ Douglas Shamlin Jr., 1/17Highland, MD 46655 (3.0) $6^6 - 2 + 1 + 0$ Lindsey Johnson, 12/05Overland Park, KS 46656 (3.0) $6^6 \times 12^0$ Ben Greene, 3/07Overland Park, KS 46657 (3.0) $6^6 + 2 - 1 + 0$ Katie Cooper, 8/04Stilwell, KS 46658 (3.0) $6^6 + 2 + 1 \times 0$ Douglas Shamlin Jr., 1/17Highland, MD 46659 (3.0) $6^6 + 2 + 1 + 0$ Adam Petrowsky, 5/03Lenexa, KS 46660 (3.2) $6^6 + 2 + 1 + 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46661 (3.0) $6^6 + \dfrac{10}{2}$ Douglas Shamlin Jr., 1/17Highland, MD 46664 (3.0) $6^6 + 10 - 2$ Douglas Shamlin Jr., 1/17Highland, MD 46667 (3.2) $6^6 + 12 - 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46668 (3.0) $6^6 + 12 + 0$ Pierre LeGrange, 12/08Overland Park, KS 46669 (3.2) $6^6 + 12 + 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46675 (3.0) $6^6 + 20 - 1$ Douglas Shamlin Jr., 1/17Highland, MD 46676 (3.0) $6^6 + 20 \times 1$ Douglas Shamlin Jr., 1/17Highland, MD 46677 (3.0) $6^6 + 21 + 0$ Seth Riddle, 8/08Indianapolis, IN 46678 (3.2) $6^6 + 21 + 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46705 (3.4) $6^6 + \dfrac{1}{2\%} - 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46706 (3.2) $6^6 + \dfrac{1}{2\%} + 0$ Douglas Shamlin Jr., 1/17Highland, MD 46707 (3.4) $6^6 + \dfrac{1}{2\%} + 0!$ Douglas Shamlin Jr., 1/17Highland, MD 46756 (3.0) $6^6 + 10^2$ Douglas Shamlin Jr., 1/17Highland, MD 46758 (3.0) $6^6 + 102$ Douglas Shamlin Jr., 1/17Highland, MD 46776 (3.0) $6^6 + 120$ Pierre LeGrange, 12/08Overland Park, KS 46856 (3.2) $6^6 + \dfrac{2}{1\%} + 0$ Douglas Shamlin Jr., 1/17Highland, MD 46857 (3.0) $6^6 + 201$ Douglas Shamlin Jr., 1/17Highland, MD 46866 (3.0) $6^6 + 210$ Douglas Shamlin Jr., 1/17Highland, MD 47680 (3.0) $6^6 + 2^{10}$ Douglas Shamlin Jr., 1/17Highland, MD 55000 (2.2) $\dfrac{66}{0.12\%}$ Douglas Shamlin Jr., 1/17Highland, MD 56000 (2.2) $\dfrac{62 - 6}{0.1\%}$ Douglas Shamlin Jr., 1/17Highland, MD 64000 (2.2) $\dfrac{66 - 2}{0.1\%}$ Douglas Shamlin Jr., 1/17Highland, MD 65542 (3.0) $2^{16} + 6 + 0$ Rahel Frew, 2/07Olathe, KS 66210 (2.0) $66210$ Renato Bacco, 12/07Overland Park, KS 67416 (3.0) $106^2 \times 6$ Aimee Shupe, 7/09Lenexa, KS 68000 (2.2) $\dfrac{66 + 2}{0.1\%}$ Douglas Shamlin Jr., 1/17Highland, MD 93302 (3.0) $6^6 \times 2 - 10$ Melissa Heller, 12/08Overland Park, KS 93311 (3.0) $6^6 \times 2 - 1 + 0$ Douglas Shamlin Jr., 1/17Highland, MD 93312 (3.0) $6^6 \times 2 \times 1 + 0$ Douglas Shamlin Jr., 1/17Highland, MD 93313 (3.0) $6^6 \times 2 + 1 + 0$ Douglas Shamlin Jr., 1/17Highland, MD 93322 (3.0) $6^6 \times 2 + 10$ Melissa Heller, 12/08Overland Park, KS 100000 (2.4) $\dfrac{60}{6\%\%} \times (2 - 1)$ Douglas Shamlin Jr., 1/17Highland, MD 125000 (3.0) $\dfrac{10^6}{6 + 2}$ Douglas Shamlin Jr., 1/17Highland, MD 153600 (3.0) $160^2 \times 6$ Aimee Shupe, 7/09Lenexa, KS 157464 (3.0) $(60 - 6)^{2+1}$ Thu Nguyen, 5/10Overland Park, KS 199999 (2.4) $\dfrac{60}{6\%\%} \times 2 - 1$ Douglas Shamlin Jr., 1/17Highland, MD 200000 (2.4) $\dfrac{60}{6\%\%} \times 2 \times 1$ Douglas Shamlin Jr., 1/17Highland, MD 200001 (2.4) $\dfrac{60}{6\%\%} \times 2 + 1$ Douglas Shamlin Jr., 1/17Highland, MD 233280 (3.0) $\dfrac{6^6}{2} \times 10$ Luis Costa Sperb, 12/08Overland Park, KS 250000 (3.0) $\dfrac{10^6}{6 - 2}$ Douglas Shamlin Jr., 1/17Highland, MD 259200 (4.6) $6! \times \dfrac{6!}{2} \times \log{(10)}$ Darren Boss, 5/03Shawnee, KS 259201 (3.4) $6! \times \dfrac{6!}{2} + 1 + 0$ Darren Boss, 4/03Shawnee, KS 260000 (3.2) $10^6 \times .26$ Seth Riddle, 12/08Indianapolis, IN 287496 (3.0) $(66 - 0)^{2+1}$ Andrea Craig, 5/17Olathe, KS 300000 (2.4) $\dfrac{60}{6\%\%} \times (2 + 1)$ Douglas Shamlin Jr., 1/17Highland, MD 366025 (3.0) $(606 - 1)^2$ Andrea Craig, 5/17Olathe, KS 372094 (3.0) $610^2 - 6$ Seth Riddle, 10/08Manchester, England 372106 (3.0) $610^2 + 6$ Seth Riddle, 10/08Manchester, England 379456 (3.0) $616^2 + 0$ Aimee Shupe, 7/09Lenexa, KS 432100 (3.4) $\dfrac{6! \times 6 + 2^0}{1\%}$ Thu Nguyen, 4/10Overland Park, KS 436921 (3.0) $661^2 + 0$ Seth Riddle, 8/08Indianapolis, IN 466562 (3.0) $6^6 \times 10 + 2$ Melissa Heller, 12/08Overland Park, KS 500000 (3.2) $\dfrac{10^6}{\sqrt{6-2}}$ Thu Nguyen, 4/10Overland Park, KS 519121 (3.4) $(6!)^2 + 6! + 1 + 0$ Tami Lawler-Bontrager, 8/07Overland Park, KS 620000 (3.2) $10^6 \times .62$ Seth Riddle, 12/08Indianapolis, IN 933119 (3.0) $6^6 \times 20 - 1$ Luis Costa Sperb, 12/08Overland Park, KS 933120 (3.0) $6^6 \times 10 \times 2$ Zhedong Liu, 7/12Lawrence, KS 933121 (3.0) $6^6 \times 20 + 1$ Luis Costa Sperb, 12/08Overland Park, KS million (2.6) $\dfrac{6}{6\%\%\%} + 0 \times 12$ Douglas Shamlin Jr., 1/17Highland, MD 1679606 (3.0) $6^{6+2} - 10$ Seth Riddle, 9/08Manchester, UK 1679615 (3.0) $6^{6+2} - 1 + 0$ Seth Riddle, 9/08Manchester, UK 1679617 (3.0) $6^{6+2} + 1 + 0$ Seth Riddle, 9/08Manchester, UK 2232600 (3.0) $610^2 \times 6$ Marcela Perez, 10/08Spring Hill, KS 2600000 (3.0) $2.6 \times 10^6$ Douglas Shamlin Jr., 1/17Highland, MD 3000000 (2.6) $\dfrac{12 + 6}{6\%\%\%} + 0$ Douglas Shamlin Jr., 1/17Highland, MD 3633156 (3.2) $10! + 66^2$ Zhedong Liu, 7/12Lawrence, KS 5038848 (3.0) $\dfrac{6^{10}}{2 \times 6}$ Matt Weber, 12/11Lawrence, KS 6200000 (3.0) $6.2 \times 10^6$ Douglas Shamlin Jr., 1/17Highland, MD 7257534 (3.2) $2 \times 10! - 66$ Alex Lahasky, 9/09Overland Park, KS 9797760 (3.0) $6^6 \times 210$ Regina Hillman, 10/07Bucyrus, KS ten million (2.6) $\dfrac{60}{6\%\%\%} \times (2 - 1)$ Douglas Shamlin Jr., 1/17Highland, MD 10077696 (3.0) $6^{6+2+1+0}$ Brian Posey, 5/05Ottawa, KS 10240000 (3.2) $20^6 \times .16$ Seth Riddle, 12/08Indianapolis, IN 10368000 (3.4) $6! \times 6! \times 20 \times 1$ Zhedong Liu, 7/12Lawrence, KS 13845841 (3.0) $(61 - 0)^{6-2}$ Andrea Craig, 5/17Olathe, KS 20155392 (3.0) $\dfrac{6^{10}}{6} \times 2$ Kashmira Sayani, 3/17Overland Park, KS 26000000 (3.0) $10^6 \times 26$ Regina Hillman, 11/07Bucyrus, KS 39040000 (3.2) $20^6 \times .61$ Seth Riddle, 12/08Indianapolis, IN 43573201 (3.0) $6601^2$ Salvador Aguirre, 12/16Overland Park, KS 62000000 (3.0) $10^6 \times 62$ Seth Riddle, 12/08Indianapolis, IN 63999939 (3.0) $20^6 - 61$ Doyle Byrnes, 12/07Stanley, KS 63999984 (3.0) $20^6 - 16$ Doyle Byrnes, 12/07Stanley, KS 64000016 (3.0) $20^6 + 16$ Doyle Byrnes, 12/07Stanley, KS 64000061 (3.0) $20^6 + 61$ Doyle Byrnes, 12/07Stanley, KS 85766061 (3.0) $21^6 - 60$ Seth Riddle, 9/08Indianapolis, IN hundred million (2.8) $\dfrac{6}{6\%\%\%\%} + 0 \times 12$ Douglas Shamlin Jr., 1/17Highland, MD 108864000 (3.4) $6! \times 6! \times 210$ Alex Lahasky, 9/09Overland Park, KS 126247696 (3.0) $106^{6-2}$ Salvador Aguirre, 12/16Overland Park, KS 179159040 (3.0) $12^6 \times 60$ Regina Hillman, 12/07Bucyrus, KS 181398528 (3.0) $6^{10} \times \dfrac62$ Renato Bacco, 12/07Overland Park, KS 308915776 (4.2) $26^6 \times \log 10$ Zhedong Liu, 7/12Lawrence, KS 335544320 (3.0) $16^6 \times 20$ Regina Hillman, 12/07Bucyrus, KS 373248000 (3.2) $((6! + 0)^{6 \times 1/2}$ Tim Sackett, 5/05Belton, MO 373248001 (3.2) $(6!)^{6/2} + 1 + 0$ Tami Lawler-Bontrager, 8/07Overland Park, KS 479001600 (3.2) $66 \times 2 \times 10!$ Alex Lahasky, 9/09Overland Park, KS billion (2.8) $\dfrac{60}{6\%\%\%\%} \times (2 - 1)$ Douglas Shamlin Jr., 1/17Highland, MD 1572120576 (3.0) $6^{10} \times 26$ Regina Hillman, 11/07Bucyrus, KS 2176782276 (3.0) $6^{12} - 60$ Zhedong Liu, 7/12Lawrence, KS 2176782336 (3.0) $(26 + 10)^6$ Regina Hillman, 12/07Bucyrus, KS 3089157760 (3.0) $26^6 \times 10$ Regina Hillman, 11/07Bucyrus, KS ten billion (3.0) $10^{6 + 6 - 2}$ Douglas Shamlin Jr., 1/17Highland, MD hundred billion (3.2) $(10^{6 + 6 + 2}) \pm$ Douglas Shamlin Jr., 1/17Highland, MD 268738560000 (3.2) $(6!)^{6/2+1} + 0$ Tami Lawler-Bontrager, 8/07Overland Park, KS 662000000000 (2.8) $\dfrac{6620}{1\%\%\%\%}$ Douglas Shamlin Jr., 1/17Highland, MD trillion (3.2) $(10^{6 + 6 + 2})\%$ Douglas Shamlin Jr., 1/17Highland, MD 85766120999994 (3.0) $210^6 - 6$ Obada Albadawi, 4/16Overland Park, KS hundred trillion (3.0) $10^{6 + 6 + 2}$ Douglas Shamlin Jr., 1/17Highland, MD 193491763200002 (3.2) $(6!)^{6-1} + 2 + 0$ Tami Lawler-Bontrager, 8/07Overland Park, KS quintillion (3.0) $10^{6 \times 2 + 6}$ Douglas Shamlin Jr., 1/17Highland, MD 1568336880910795778 (3.0) $66^{10} + 2$ Obada Albadawi, 4/16Overland Park, KS hundred quintillion (3.0) $10^{26 - 6}$ Douglas Shamlin Jr., 1/17Highland, MD septillion (3.0) $10^{6 \times (6 - 2)}$ Douglas Shamlin Jr., 1/17Highland, MD nonillion (3.0) $10^{6^2 - 6}$ Douglas Shamlin Jr., 1/17Highland, MD 1267650600228229401496703205375 (3.2) $2^{6/(6\%)} - 1 + 0$ Steve Wilson, 4/16Lawrence, KS little googol (3.2) $2^{(10\times 6/.6)}$ Ralph Jeffords, 5/08Centreville, VA hundred nonillion (3.0) $10^{26 + 6}$ Douglas Shamlin Jr., 1/17Highland, MD decillion (3.0) $10^{66/2}$ Douglas Shamlin Jr., 1/17Highland, MD ten decillion (3.0) $10^{6 \times 6 - 2}$ Douglas Shamlin Jr., 1/17Highland, MD hundred undecillion (3.0) $10^{6 \times 6 + 2}$ Douglas Shamlin Jr., 1/17Highland, MD tredecillion (3.0) $10^{6^2 + 6}$ Douglas Shamlin Jr., 1/17Highland, MD quinquadecillion (3.0) $10^{6 \times (6 + 2)}$ Douglas Shamlin Jr., 1/17Highland, MD hundred septendecillion (3.0) $10^{62 - 6}$ Douglas Shamlin Jr., 1/17Highland, MD ten octodecillion (3.0) $10^{2^6 - 6}$ Douglas Shamlin Jr., 1/17Highland, MD ten vigintillion (3.0) $10^{66 - 2}$ Douglas Shamlin Jr., 1/17Highland, MD hundred unvigintillion (3.0) $10^{66 + 2}$ Douglas Shamlin Jr., 1/17Highland, MD ten duovigintillion (3.0) $10^{2^6 + 6}$ Douglas Shamlin Jr., 1/17Highland, MD googol (3.2) $10^{(6/.6)^2}$ Brian Hollenbeck, 5/03Emporia, KS septenquadragintillion (3.0) $10^{(6 + 6)^2}$ Douglas Shamlin Jr., 1/17Highland, MD hundred quinquasexagintillion (3.2) $10^{2 \times 6 / (6\%)}$ Douglas Shamlin Jr., 1/17Highland, MD centillion (3.4) $(10^{6/(2\%) + 6}) \pm$ Douglas Shamlin Jr., 1/17Highland, MD uncentillion (3.2) $10^{6/(2\%) + 6}$ Douglas Shamlin Jr., 1/17Highland, MD googolplex (3.4) $10^{\sqrt[2\%]{\frac{6}{6\%}}}$ Pellegrini Paolo, 1/09Martina Franca, Italy