Q: What is the sum of all factors of the number 85,147,200 excluding 85,147,200?

 A: 233,285,234

Why is 233,285,234 the sum of all factors of 85,147,200, excluding 85,147,200?

The factors of the number 85,147,200 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 73, 75, 80, 81, 90, 96, 100, 108, 120, 135, 144, 146, 150, 160, 162, 180, 192, 200, 216, 219, 225, 240, 243, 270, 288, 292, 300, 320, 324, 360, 365, 400, 405, 432, 438, 450, 480, 486, 540, 576, 584, 600, 648, 657, 675, 720, 729, 730, 800, 810, 864, 876, 900, 960, 972, 1080, 1095, 1168, 1200, 1215, 1296, 1314, 1350, 1440, 1458, 1460, 1600, 1620, 1728, 1752, 1800, 1825, 1944, 1971, 2025, 2160, 2190, 2336, 2400, 2430, 2592, 2628, 2700, 2880, 2916, 2920, 3240, 3285, 3504, 3600, 3645, 3650, 3888, 3942, 4050, 4320, 4380, 4672, 4800, 4860, 5184, 5256, 5400, 5475, 5832, 5840, 5913, 6075, 6480, 6570, 7008, 7200, 7290, 7300, 7776, 7884, 8100, 8640, 8760, 9720, 9855, 10512, 10800, 10950, 11664, 11680, 11826, 12150, 12960, 13140, 14016, 14400, 14580, 14600, 15552, 15768, 16200, 16425, 17520, 17739, 18225, 19440, 19710, 21024, 21600, 21900, 23328, 23360, 23652, 24300, 25920, 26280, 29160, 29200, 29565, 31536, 32400, 32850, 35040, 35478, 36450, 38880, 39420, 42048, 43200, 43800, 46656, 47304, 48600, 49275, 52560, 53217, 58320, 58400, 59130, 63072, 64800, 65700, 70080, 70956, 72900, 77760, 78840, 87600, 88695, 94608, 97200, 98550, 105120, 106434, 116640, 116800, 118260, 126144, 129600, 131400, 141912, 145800, 147825, 157680, 175200, 177390, 189216, 194400, 197100, 210240, 212868, 233280, 236520, 262800, 266085, 283824, 291600, 295650, 315360, 350400, 354780, 378432, 388800, 394200, 425736, 443475, 473040, 525600, 532170, 567648, 583200, 591300, 630720, 709560, 788400, 851472, 886950, 946080, 1051200, 1064340, 1135296, 1166400, 1182600, 1330425, 1419120, 1576800, 1702944, 1773900, 1892160, 2128680, 2365200, 2660850, 2838240, 3153600, 3405888, 3547800, 4257360, 4730400, 5321700, 5676480, 7095600, 8514720, 9460800, 10643400, 14191200, 17029440, 21286800, 28382400, 42573600, 85147200.

If you add them up, you will get the total of 85,147,433. Now subtract 85,147,200 to get 233,285,234


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