230448240
230,448,240 is an even composite number composed of six prime numbers multiplied together.
230448240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 230448240:
24 × 34 × 5 × 11 × 53 × 61
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 53 × 61)See below for interesting mathematical facts about the number 230448240 from the Numbermatics database.
Names of 230448240
- Cardinal: 230448240 can be written as Two hundred thirty million, four hundred forty-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.3044824 × 108
Factors of 230448240
Divisors of 230448240
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 53 54 55 60 61 66 72 80 81 88 90 99 106 108 110 120 122 132 135 144 159 162 165 176 180 183 198 212 216 220 240 244 264 265 270 297 305 318 324 330 360 366 396 405 424 432 440 477 488 495 528 530 540 549 583 594 610 636 648 660 671 720 732 792 795 810 848 880 891 915 954 976 990 1060 1080 1098 1166 1188 1220 1272 1296 1320 1342 1431 1464 1485 1584 1590 1620 1647 1749 1782 1830 1908 1980 2013 2120 2160 2196 2332 2376 2385 2440 2544 2640 2684 2745 2862 2915 2928 2970 3180 3233 3240 3294 3355 3498 3564 3660 3816 3960 4026 4240 4293 4392 4455 4664 4752 4770 4880 4941 5247 5368 5490 5724 5830 5940 6039 6360 6466 6480 6588 6710 6996 7128 7155 7320 7632 7920 8052 8235 8586 8745 8784 8910 9328 9540 9699 9882 10065 10494 10736 10980 11448 11660 11880 12078 12720 12932 13176 13420 13992 14256 14310 14640 15741 16104 16165 16470 17172 17490 17820 18117 19080 19398 19764 20130 20988 21465 21960 22896 23320 23760 24156 24705 25864 26235 26352 26840 27984 28620 29097 30195 31482 32208 32330 32940 34344 34980 35563 35640 36234 38160 38796 39528 40260 41976 42930 43920 46640 47223 48312 48495 49410 51728 52470 53680 54351 57240 58194 60390 62964 64660 65880 68688 69960 71126 71280 72468 77592 78705 79056 80520 83952 85860 87291 90585 94446 96624 96990 98820 104940 106689 108702 114480 116388 120780 125928 129320 131760 139920 142252 144936 145485 155184 157410 161040 171720 174582 177815 181170 188892 193980 197640 209880 213378 217404 232776 236115 241560 251856 258640 261873 271755 284504 289872 290970 314820 320067 343440 349164 355630 362340 377784 387960 395280 419760 426756 434808 436455 465552 472230 483120 523746 533445 543510 569008 581940 629640 640134 698328 711260 724680 755568 775920 853512 869616 872910 944460 960201 1047492 1066890 1087020 1163880 1259280 1280268 1309365 1396656 1422520 1449360 1600335 1707024 1745820 1888920 1920402 2094984 2133780 2174040 2327760 2560536 2618730 2845040 2880603 3200670 3491640 3777840 3840804 4189968 4267560 4348080 4801005 5121072 5237460 5761206 6401340 6983280 7681608 8535120 9602010 10474920 11522412 12802680 14403015 15363216 19204020 20949840 23044824 25605360 28806030 38408040 46089648 57612060 76816080 115224120 230448240
- Sum of all divisors σ(n): 904201056
- Sum of proper divisors (its aliquot sum) s(n): 673752816
- 230448240 is an abundant number, because the sum of its proper divisors (673752816) is greater than itself. Its abundance is 443304576
Bases of 230448240
- Binary: 11011011110001011100011100002
- Hexadecimal: 0xDBC5C70
- Base-36: 3T7B00
Squares and roots of 230448240
- 230448240 squared (2304482402) is 53106391319097600
- 230448240 cubed (2304482403) is 12238274412237320308224000
-
The
square root of 230448240 is 15180.5217301645 -
The
cube root of 230448240 is 613.0903285391
Scales and comparisons
How big is 230448240?- 230,448,240 seconds is equal to 7 years, 17 weeks, 5 hours, 24 minutes.
-
To count from 1 to 230,448,240 would take you about ten 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 230448240 cubic inches would be around 51.1 feet tall.
Recreational maths with 230448240
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