230088320
230,088,320 is an even composite number composed of six prime numbers multiplied together.
230088320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 230088320:
27 × 5 × 72 × 11 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 23 × 29)See below for interesting mathematical facts about the number 230088320 from the Numbermatics database.
Names of 230088320
- Cardinal: 230088320 can be written as Two hundred thirty million, eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.3008832 × 108
Factors of 230088320
Divisors of 230088320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 28 29 32 35 40 44 46 49 55 56 58 64 70 77 80 88 92 98 110 112 115 116 128 140 145 154 160 161 176 184 196 203 220 224 230 232 245 253 280 290 308 319 320 322 352 368 385 392 406 440 448 460 464 490 506 539 560 580 616 638 640 644 667 704 736 770 784 805 812 880 896 920 928 980 1012 1015 1078 1120 1127 1160 1232 1265 1276 1288 1334 1408 1421 1472 1540 1568 1595 1610 1624 1760 1771 1840 1856 1960 2024 2030 2156 2233 2240 2254 2320 2464 2530 2552 2576 2668 2695 2842 2944 3080 3136 3190 3220 3248 3335 3520 3542 3680 3712 3920 4048 4060 4312 4466 4480 4508 4640 4669 4928 5060 5104 5152 5336 5390 5635 5684 6160 6272 6380 6440 6496 6670 7040 7084 7105 7337 7360 7840 8096 8120 8624 8855 8932 9016 9280 9338 9856 10120 10208 10304 10672 10780 11165 11270 11368 12320 12397 12760 12880 12992 13340 14168 14210 14674 14720 15631 15680 16192 16240 17248 17710 17864 18032 18560 18676 20240 20416 20608 21344 21560 22330 22540 22736 23345 24640 24794 25520 25760 25984 26680 28336 28420 29348 31262 31360 32384 32480 32683 34496 35420 35728 36064 36685 37352 40480 40832 42688 43120 44660 45080 45472 46690 49280 49588 51040 51359 51520 53360 56672 56840 58696 61985 62524 64960 65366 68992 70840 71456 72128 73370 74704 78155 80960 85376 86240 89320 90160 90944 93380 99176 102080 102718 103040 106720 113344 113680 117392 123970 125048 129920 130732 141680 142912 144256 146740 149408 156310 161920 163415 172480 178640 180320 181888 186760 198352 204160 205436 213440 226688 227360 234784 247940 250096 256795 261464 283360 285824 293480 298816 312620 326830 344960 357280 359513 360640 373520 396704 410872 426880 454720 469568 495880 500192 513590 522928 566720 586960 597632 625240 653660 714560 719026 721280 747040 793408 821744 909440 939136 991760 1000384 1027180 1045856 1133440 1173920 1250480 1307320 1429120 1438052 1494080 1586816 1643488 1797565 1983520 2000768 2054360 2091712 2347840 2500960 2614640 2876104 2988160 3286976 3595130 3967040 4108720 4183424 4695680 5001920 5229280 5752208 6573952 7190260 7934080 8217440 10003840 10458560 11504416 14380520 16434880 20917120 23008832 28761040 32869760 46017664 57522080 115044160 230088320
- Sum of all divisors σ(n): 753494400
- Sum of proper divisors (its aliquot sum) s(n): 523406080
- 230088320 is an abundant number, because the sum of its proper divisors (523406080) is greater than itself. Its abundance is 293317760
Bases of 230088320
- Binary: 11011011011011011110100000002
- Hexadecimal: 0xDB6DE80
- Base-36: 3SZLA8
Squares and roots of 230088320
- 230088320 squared (2300883202) is 52940635000422400
- 230088320 cubed (2300883203) is 12181021766980389306368000
-
The
square root of 230088320 is 15168.6624327921 -
The
cube root of 230088320 is 612.7709821353
Scales and comparisons
How big is 230088320?- 230,088,320 seconds is equal to 7 years, 16 weeks, 3 days, 1 hour, 25 minutes, 20 seconds.
-
To count from 1 to 230,088,320 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 230088320 cubic inches would be around 51.1 feet tall.
Recreational maths with 230088320
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