230036400
230,036,400 is an even composite number composed of six prime numbers multiplied together.
230036400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 230036400:
24 × 32 × 52 × 11 × 37 × 157
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 37 × 157)See below for interesting mathematical facts about the number 230036400 from the Numbermatics database.
Names of 230036400
- Cardinal: 230036400 can be written as Two hundred thirty million, thirty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.300364 × 108
Factors of 230036400
Divisors of 230036400
- Number of divisors d(n): 360
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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 25 30 33 36 37 40 44 45 48 50 55 60 66 72 74 75 80 88 90 99 100 110 111 120 132 144 148 150 157 165 176 180 185 198 200 220 222 225 240 264 275 296 300 314 330 333 360 370 396 400 407 440 444 450 471 495 528 550 555 592 600 628 660 666 720 740 785 792 814 825 880 888 900 925 942 990 1100 1110 1200 1221 1256 1320 1332 1413 1480 1570 1584 1628 1650 1665 1727 1776 1800 1850 1884 1980 2035 2200 2220 2355 2442 2475 2512 2640 2664 2775 2826 2960 3140 3256 3300 3330 3454 3600 3663 3700 3768 3925 3960 4070 4400 4440 4710 4884 4950 5181 5328 5550 5652 5809 6105 6280 6512 6600 6660 6908 7065 7326 7400 7536 7850 7920 8140 8325 8635 8880 9420 9768 9900 10175 10362 11100 11304 11618 11775 12210 12560 13200 13320 13816 14130 14652 14800 15543 15700 16280 16650 17270 17427 18315 18840 19536 19800 20350 20724 22200 22608 23236 23550 24420 25905 26640 27632 28260 29045 29304 30525 31086 31400 32560 33300 34540 34854 35325 36630 37680 39600 40700 41448 43175 44400 46472 47100 48840 51810 52281 56520 58090 58608 61050 62172 62800 63899 66600 69080 69708 70650 73260 77715 81400 82896 86350 87135 91575 92944 94200 97680 103620 104562 113040 116180 122100 124344 127798 129525 133200 138160 139416 141300 145225 146520 155430 162800 172700 174270 183150 188400 191697 207240 209124 232360 244200 248688 255596 259050 261405 278832 282600 290450 293040 310860 319495 345400 348540 366300 383394 388575 414480 418248 435675 464720 488400 511192 518100 522810 565200 575091 580900 621720 638990 690800 697080 732600 766788 777150 836496 871350 958485 1022384 1036200 1045620 1150182 1161800 1243440 1277980 1307025 1394160 1465200 1533576 1554300 1597475 1742700 1916970 2072400 2091240 2300364 2323600 2555960 2614050 2875455 3067152 3108600 3194950 3485400 3833940 4182480 4600728 4792425 5111920 5228100 5750910 6217200 6389900 6970800 7667880 9201456 9584850 10456200 11501820 12779800 14377275 15335760 19169700 20912400 23003640 25559600 28754550 38339400 46007280 57509100 76678800 115018200 230036400
- Sum of all divisors σ(n): 900095664
- Sum of proper divisors (its aliquot sum) s(n): 670059264
- 230036400 is an abundant number, because the sum of its proper divisors (670059264) is greater than itself. Its abundance is 440022864
Bases of 230036400
- Binary: 11011011011000010011101100002
- Hexadecimal: 0xDB613B0
- Base-36: 3SYH80
Squares and roots of 230036400
- 230036400 squared (2300364002) is 52916745324960000
- 230036400 cubed (2300364003) is 12172777594270628544000000
-
The
square root of 230036400 is 15166.9509130873 -
The
cube root of 230036400 is 612.7248875707
Scales and comparisons
How big is 230036400?- 230,036,400 seconds is equal to 7 years, 16 weeks, 2 days, 11 hours.
-
To count from 1 to 230,036,400 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 230036400 cubic inches would be around 51.1 feet tall.
Recreational maths with 230036400
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