230815872
230,815,872 is an even composite number composed of five prime numbers multiplied together.
230815872 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 230815872:
27 × 33 × 72 × 29 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 29 × 47)See below for interesting mathematical facts about the number 230815872 from the Numbermatics database.
Names of 230815872
- Cardinal: 230815872 can be written as Two hundred thirty million, eight hundred fifteen thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 2.30815872 × 108
Factors of 230815872
Divisors of 230815872
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 47 48 49 54 56 58 63 64 72 84 87 94 96 98 108 112 116 126 128 141 144 147 168 174 188 189 192 196 203 216 224 232 252 261 282 288 294 329 336 348 376 378 384 392 406 423 432 441 448 464 504 522 564 576 588 609 658 672 696 752 756 783 784 812 846 864 882 896 928 987 1008 1044 1128 1152 1176 1218 1269 1316 1323 1344 1363 1392 1421 1504 1512 1566 1568 1624 1692 1728 1764 1827 1856 1974 2016 2088 2256 2303 2352 2436 2538 2632 2646 2688 2726 2784 2842 2961 3008 3024 3132 3136 3248 3384 3456 3528 3654 3712 3948 4032 4089 4176 4263 4512 4606 4704 4872 5076 5264 5292 5452 5481 5568 5684 5922 6016 6048 6264 6272 6496 6768 6909 7056 7308 7896 8064 8178 8352 8526 8883 9024 9212 9408 9541 9744 10152 10528 10584 10904 10962 11136 11368 11844 12096 12267 12528 12789 12992 13536 13818 14112 14616 15792 16356 16704 17052 17766 18048 18424 18816 19082 19488 20304 20727 21056 21168 21808 21924 22736 23688 24192 24534 25056 25578 25984 27072 27636 28224 28623 29232 31584 32712 33408 34104 35532 36801 36848 38164 38367 38976 40608 41454 42112 42336 43616 43848 45472 47376 49068 50112 51156 54144 55272 56448 57246 58464 62181 63168 65424 66787 68208 71064 73602 73696 76328 76734 77952 81216 82908 84672 85869 87232 87696 90944 94752 98136 100224 102312 110544 114492 116928 124362 126336 130848 133574 136416 142128 147204 147392 152656 153468 162432 165816 169344 171738 174464 175392 181888 189504 196272 200361 204624 221088 228984 233856 248724 257607 261696 267148 272832 284256 294408 294784 305312 306936 331632 343476 350784 379008 392544 400722 409248 442176 457968 497448 515214 523392 534296 545664 568512 588816 601083 610624 613872 663264 686952 701568 785088 801444 818496 884352 915936 994896 1030428 1068592 1137024 1177632 1202166 1221248 1227744 1326528 1373904 1570176 1602888 1636992 1803249 1831872 1989792 2060856 2137184 2355264 2404332 2455488 2653056 2747808 3205776 3606498 3663744 3979584 4121712 4274368 4710528 4808664 4910976 5495616 6411552 7212996 7959168 8243424 8548736 9617328 10991232 12823104 14425992 16486848 19234656 25646208 28851984 32973696 38469312 57703968 76938624 115407936 230815872
- Sum of all divisors σ(n): 837216000
- Sum of proper divisors (its aliquot sum) s(n): 606400128
- 230815872 is an abundant number, because the sum of its proper divisors (606400128) is greater than itself. Its abundance is 375584256
Bases of 230815872
- Binary: 11011100000111111000100000002
- Hexadecimal: 0xDC1F880
- Base-36: 3TF6O0
Squares and roots of 230815872
- 230815872 squared (2308158722) is 53275966767120384
- 230815872 cubed (2308158723) is 12296938725995912361934848
-
The
square root of 230815872 is 15192.6255795369 -
The
cube root of 230815872 is 613.4161744857
Scales and comparisons
How big is 230815872?- 230,815,872 seconds is equal to 7 years, 17 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 230,815,872 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 230815872 cubic inches would be around 51.1 feet tall.
Recreational maths with 230815872
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