12228720
12,228,720 is an even composite number composed of six prime numbers multiplied together.
12228720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 12228720:
24 × 3 × 5 × 7 × 29 × 251
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 251)See below for interesting mathematical facts about the number 12228720 from the Numbermatics database.
Names of 12228720
- Cardinal: 12228720 can be written as Twelve million, two hundred twenty-eight thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.222872 × 107
Factors of 12228720
Divisors of 12228720
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 251 280 290 336 348 406 420 435 464 502 560 580 609 696 753 812 840 870 1004 1015 1160 1218 1255 1392 1506 1624 1680 1740 1757 2008 2030 2320 2436 2510 3012 3045 3248 3480 3514 3765 4016 4060 4872 5020 5271 6024 6090 6960 7028 7279 7530 8120 8785 9744 10040 10542 12048 12180 14056 14558 15060 16240 17570 20080 21084 21837 24360 26355 28112 29116 30120 35140 36395 42168 43674 48720 50953 52710 58232 60240 70280 72790 84336 87348 101906 105420 109185 116464 140560 145580 152859 174696 203812 210840 218370 254765 291160 305718 349392 407624 421680 436740 509530 582320 611436 764295 815248 873480 1019060 1222872 1528590 1746960 2038120 2445744 3057180 4076240 6114360 12228720
- Sum of all divisors σ(n): 44997120
- Sum of proper divisors (its aliquot sum) s(n): 32768400
- 12228720 is an abundant number, because the sum of its proper divisors (32768400) is greater than itself. Its abundance is 20539680
Bases of 12228720
- Binary: 1011101010011000011100002
- Hexadecimal: 0xBA9870
- Base-36: 7A3QO
Squares and roots of 12228720
- 12228720 squared (122287202) is 149541592838400
- 12228720 cubed (122287203) is 1828702267174798848000
-
The
square root of 12228720 is 3496.9586786235 -
The
cube root of 12228720 is 230.3882541273
Scales and comparisons
How big is 12228720?- 12,228,720 seconds is equal to 20 weeks, 1 day, 12 hours, 52 minutes.
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To count from 1 to 12,228,720 would take you about thirty weeks!
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 12228720 cubic inches would be around 19.2 feet tall.
Recreational maths with 12228720
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