122468220
122,468,220 is an even composite number composed of six prime numbers multiplied together.
122468220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 122468220:
22 × 33 × 5 × 7 × 179 × 181
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 179 × 181)See below for interesting mathematical facts about the number 122468220 from the Numbermatics database.
Names of 122468220
- Cardinal: 122468220 can be written as One hundred twenty-two million, four hundred sixty-eight thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.2246822 × 108
Factors of 122468220
Divisors of 122468220
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 179 180 181 189 210 252 270 315 358 362 378 420 537 540 543 630 716 724 756 895 905 945 1074 1086 1253 1260 1267 1611 1629 1790 1810 1890 2148 2172 2506 2534 2685 2715 3222 3258 3580 3620 3759 3780 3801 4833 4887 5012 5068 5370 5430 6265 6335 6444 6516 7518 7602 8055 8145 9666 9774 10740 10860 11277 11403 12530 12670 15036 15204 16110 16290 18795 19005 19332 19548 22554 22806 24165 24435 25060 25340 32220 32399 32580 33831 34209 37590 38010 45108 45612 48330 48870 56385 57015 64798 67662 68418 75180 76020 96660 97197 97740 112770 114030 129596 135324 136836 161995 169155 171045 194394 225540 226793 228060 291591 323990 338310 342090 388788 453586 485985 583182 647980 676620 680379 684180 874773 907172 971970 1133965 1166364 1360758 1457955 1749546 1943940 2041137 2267930 2721516 2915910 3401895 3499092 4082274 4373865 4535860 5831820 6123411 6803790 8164548 8747730 10205685 12246822 13607580 17495460 20411370 24493644 30617055 40822740 61234110 122468220
- Sum of all divisors σ(n): 440294400
- Sum of proper divisors (its aliquot sum) s(n): 317826180
- 122468220 is an abundant number, because the sum of its proper divisors (317826180) is greater than itself. Its abundance is 195357960
Bases of 122468220
- Binary: 1110100110010110111011111002
- Hexadecimal: 0x74CB77C
- Base-36: 20WX30
Squares and roots of 122468220
- 122468220 squared (1224682202) is 14998464909968400
- 122468220 cubed (1224682203) is 1836835300256290204248000
-
The
square root of 122468220 is 11066.5360434061 -
The
cube root of 122468220 is 496.6012425771
Scales and comparisons
How big is 122468220?- 122,468,220 seconds is equal to 3 years, 46 weeks, 3 days, 10 hours, 57 minutes.
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To count from 1 to 122,468,220 would take you about five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 122468220 cubic inches would be around 41.4 feet tall.
Recreational maths with 122468220
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