230983480
230,983,480 is an even composite number composed of seven prime numbers multiplied together.
230983480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 230983480:
23 × 5 × 7 × 13 × 23 × 31 × 89
(2 × 2 × 2 × 5 × 7 × 13 × 23 × 31 × 89)See below for interesting mathematical facts about the number 230983480 from the Numbermatics database.
Names of 230983480
- Cardinal: 230983480 can be written as Two hundred thirty million, nine hundred eighty-three thousand, four hundred eighty.
Scientific notation
- Scientific notation: 2.3098348 × 108
Factors of 230983480
Divisors of 230983480
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 23 26 28 31 35 40 46 52 56 62 65 70 89 91 92 104 115 124 130 140 155 161 178 182 184 217 230 248 260 280 299 310 322 356 364 403 434 445 455 460 520 598 620 623 644 712 713 728 805 806 868 890 910 920 1085 1157 1196 1240 1246 1288 1426 1495 1610 1612 1736 1780 1820 2015 2047 2093 2170 2314 2392 2492 2759 2821 2852 2990 3115 3220 3224 3560 3565 3640 4030 4094 4186 4340 4628 4984 4991 5518 5642 5704 5785 5980 6230 6440 7130 8060 8099 8188 8372 8680 9256 9269 9982 10235 10465 11036 11284 11570 11960 12460 13795 14105 14260 14329 16120 16198 16376 16744 18538 19313 19964 20470 20930 22072 22568 23140 24920 24955 26611 27590 28210 28520 28658 32396 35867 37076 38626 39928 40495 40940 41860 46280 46345 49910 53222 55180 56420 57316 63457 64792 64883 71645 71734 74152 77252 80990 81880 83720 92690 96565 99820 106444 110360 112840 114632 126914 129766 133055 143290 143468 154504 161980 179335 185380 186277 193130 199640 212888 251069 253828 259532 266110 286580 286936 317285 323960 324415 358670 370760 372554 386260 444199 502138 507656 519064 532220 573160 634570 648830 717340 745108 772520 824941 888398 931385 1004276 1064440 1255345 1269140 1297660 1434680 1490216 1649882 1776796 1862770 2008552 2220995 2510690 2538280 2595320 3299764 3553592 3725540 4124705 4441990 5021380 5774587 6599528 7451080 8249410 8883980 10042760 11549174 16498820 17767960 23098348 28872935 32997640 46196696 57745870 115491740 230983480
- Sum of all divisors σ(n): 696729600
- Sum of proper divisors (its aliquot sum) s(n): 465746120
- 230983480 is an abundant number, because the sum of its proper divisors (465746120) is greater than itself. Its abundance is 234762640
Bases of 230983480
- Binary: 11011100010010000111001110002
- Hexadecimal: 0xDC48738
- Base-36: 3TIRZS
Squares and roots of 230983480
- 230983480 squared (2309834802) is 53353368032910400
- 230983480 cubed (2309834803) is 12323746617962398720192000
-
The
square root of 230983480 is 15198.1406757539 -
The
cube root of 230983480 is 613.5646168799
Scales and comparisons
How big is 230983480?- 230,983,480 seconds is equal to 7 years, 17 weeks, 6 days, 10 hours, 4 minutes, 40 seconds.
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To count from 1 to 230,983,480 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 230983480 cubic inches would be around 51.1 feet tall.
Recreational maths with 230983480
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