230515200
230,515,200 is an even composite number composed of five prime numbers multiplied together.
230515200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 230515200:
29 × 33 × 52 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 29)See below for interesting mathematical facts about the number 230515200 from the Numbermatics database.
Names of 230515200
- Cardinal: 230515200 can be written as Two hundred thirty million, five hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 2.305152 × 108
Factors of 230515200
Divisors of 230515200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 29 30 32 36 40 45 46 48 50 54 58 60 64 69 72 75 80 87 90 92 96 100 108 115 116 120 128 135 138 144 145 150 160 174 180 184 192 200 207 216 225 230 232 240 256 261 270 276 288 290 300 320 345 348 360 368 384 400 414 432 435 450 460 464 480 512 522 540 552 575 576 580 600 621 640 667 675 690 696 720 725 736 768 783 800 828 864 870 900 920 928 960 1035 1044 1080 1104 1150 1152 1160 1200 1242 1280 1305 1334 1350 1380 1392 1440 1450 1472 1536 1566 1600 1656 1725 1728 1740 1800 1840 1856 1920 2001 2070 2088 2160 2175 2208 2300 2304 2320 2400 2484 2560 2610 2668 2700 2760 2784 2880 2900 2944 3105 3132 3200 3312 3335 3450 3456 3480 3600 3680 3712 3840 3915 4002 4140 4176 4320 4350 4416 4600 4608 4640 4800 4968 5175 5220 5336 5400 5520 5568 5760 5800 5888 6003 6210 6264 6400 6525 6624 6670 6900 6912 6960 7200 7360 7424 7680 7830 8004 8280 8352 8640 8700 8832 9200 9280 9600 9936 10005 10350 10440 10672 10800 11040 11136 11520 11600 11776 12006 12420 12528 12800 13050 13248 13340 13800 13824 13920 14400 14720 14848 15525 15660 16008 16560 16675 16704 17280 17400 17664 18009 18400 18560 19200 19575 19872 20010 20700 20880 21344 21600 22080 22272 23040 23200 24012 24840 25056 26100 26496 26680 27600 27840 28800 29440 30015 31050 31320 32016 33120 33350 33408 34560 34800 35328 36018 36800 37120 38400 39150 39744 40020 41400 41760 42688 43200 44160 44544 46400 48024 49680 50025 50112 52200 52992 53360 55200 55680 57600 58880 60030 62100 62640 64032 66240 66700 66816 69120 69600 72036 73600 74240 78300 79488 80040 82800 83520 85376 86400 88320 90045 92800 96048 99360 100050 100224 104400 105984 106720 110400 111360 115200 120060 124200 125280 128064 132480 133400 133632 139200 144072 147200 150075 156600 158976 160080 165600 167040 170752 172800 176640 180090 185600 192096 198720 200100 200448 208800 213440 220800 222720 240120 248400 250560 256128 264960 266800 278400 288144 294400 300150 313200 317952 320160 331200 334080 341504 345600 360180 371200 384192 397440 400200 400896 417600 426880 441600 450225 480240 496800 501120 512256 529920 533600 556800 576288 600300 626400 640320 662400 668160 720360 768384 794880 800400 835200 853760 883200 900450 960480 993600 1002240 1024512 1067200 1113600 1152576 1200600 1252800 1280640 1324800 1440720 1536768 1589760 1600800 1670400 1707520 1800900 1920960 1987200 2004480 2134400 2305152 2401200 2505600 2561280 2649600 2881440 3073536 3201600 3340800 3601800 3841920 3974400 4268800 4610304 4802400 5011200 5122560 5762880 6403200 7203600 7683840 7948800 8537600 9220608 9604800 10022400 11525760 12806400 14407200 15367680 19209600 23051520 25612800 28814400 38419200 46103040 57628800 76838400 115257600 230515200
- Sum of all divisors σ(n): 913334400
- Sum of proper divisors (its aliquot sum) s(n): 682819200
- 230515200 is an abundant number, because the sum of its proper divisors (682819200) is greater than itself. Its abundance is 452304000
Bases of 230515200
- Binary: 11011011110101100010000000002
- Hexadecimal: 0xDBD6200
- Base-36: 3T8QO0
Squares and roots of 230515200
- 230515200 squared (2305152002) is 53137257431040000
- 230515200 cubed (2305152003) is 12248945524167671808000000
-
The
square root of 230515200 is 15182.7270277773 -
The
cube root of 230515200 is 613.1497034815
Scales and comparisons
How big is 230515200?- 230,515,200 seconds is equal to 7 years, 17 weeks, 1 day.
-
To count from 1 to 230,515,200 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 230515200 cubic inches would be around 51.1 feet tall.
Recreational maths with 230515200
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