233229120
233,229,120 is an even composite number composed of six prime numbers multiplied together.
233229120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 233229120:
26 × 3 × 5 × 17 × 31 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 31 × 461)See below for interesting mathematical facts about the number 233229120 from the Numbermatics database.
Names of 233229120
- Cardinal: 233229120 can be written as Two hundred thirty-three million, two hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.3322912 × 108
Factors of 233229120
Divisors of 233229120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 32 34 40 48 51 60 62 64 68 80 85 93 96 102 120 124 136 155 160 170 186 192 204 240 248 255 272 310 320 340 372 408 461 465 480 496 510 527 544 620 680 744 816 922 930 960 992 1020 1054 1088 1240 1360 1383 1488 1581 1632 1844 1860 1984 2040 2108 2305 2480 2635 2720 2766 2976 3162 3264 3688 3720 4080 4216 4610 4960 5270 5440 5532 5952 6324 6915 7376 7440 7837 7905 8160 8432 9220 9920 10540 11064 12648 13830 14291 14752 14880 15674 15810 16320 16864 18440 21080 22128 23511 25296 27660 28582 29504 29760 31348 31620 33728 36880 39185 42160 42873 44256 47022 50592 55320 57164 62696 63240 71455 73760 78370 84320 85746 88512 94044 101184 110640 114328 117555 125392 126480 142910 147520 156740 168640 171492 188088 214365 221280 228656 235110 242947 250784 252960 285820 313480 342984 376176 428730 442560 457312 470220 485894 501568 505920 571640 626960 685968 728841 752352 857460 914624 940440 971788 1143280 1214735 1253920 1371936 1457682 1504704 1714920 1880880 1943576 2286560 2429470 2507840 2743872 2915364 3429840 3644205 3761760 3887152 4573120 4858940 5830728 6859680 7288410 7523520 7774304 9717880 11661456 13719360 14576820 15548608 19435760 23322912 29153640 38871520 46645824 58307280 77743040 116614560 233229120
- Sum of all divisors σ(n): 811109376
- Sum of proper divisors (its aliquot sum) s(n): 577880256
- 233229120 is an abundant number, because the sum of its proper divisors (577880256) is greater than itself. Its abundance is 344651136
Bases of 233229120
- Binary: 11011110011011001011010000002
- Hexadecimal: 0xDE6CB40
- Base-36: 3UUWQO
Squares and roots of 233229120
- 233229120 squared (2332291202) is 54395822415974400
- 233229120 cubed (2332291203) is 12686689793753983254528000
-
The
square root of 233229120 is 15271.8407534913 -
The
cube root of 233229120 is 615.5465826235
Scales and comparisons
How big is 233229120?- 233,229,120 seconds is equal to 7 years, 21 weeks, 4 days, 9 hours, 52 minutes.
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To count from 1 to 233,229,120 would take you about eleven 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 233229120 cubic inches would be around 51.3 feet tall.
Recreational maths with 233229120
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