230648400
230,648,400 is an even composite number composed of five prime numbers multiplied together.
230648400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 230648400:
24 × 32 × 52 × 79 × 811
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 79 × 811)See below for interesting mathematical facts about the number 230648400 from the Numbermatics database.
Names of 230648400
- Cardinal: 230648400 can be written as Two hundred thirty million, six hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.306484 × 108
Factors of 230648400
Divisors of 230648400
- Number of divisors d(n): 180
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 79 80 90 100 120 144 150 158 180 200 225 237 240 300 316 360 395 400 450 474 600 632 711 720 790 811 900 948 1185 1200 1264 1422 1580 1622 1800 1896 1975 2370 2433 2844 3160 3244 3555 3600 3792 3950 4055 4740 4866 5688 5925 6320 6488 7110 7299 7900 8110 9480 9732 11376 11850 12165 12976 14220 14598 15800 16220 17775 18960 19464 20275 23700 24330 28440 29196 31600 32440 35550 36495 38928 40550 47400 48660 56880 58392 60825 64069 64880 71100 72990 81100 94800 97320 116784 121650 128138 142200 145980 162200 182475 192207 194640 243300 256276 284400 291960 320345 324400 364950 384414 486600 512552 576621 583920 640690 729900 768828 961035 973200 1025104 1153242 1281380 1459800 1537656 1601725 1922070 2306484 2562760 2883105 2919600 3075312 3203450 3844140 4612968 4805175 5125520 5766210 6406900 7688280 9225936 9610350 11532420 12813800 14415525 15376560 19220700 23064840 25627600 28831050 38441400 46129680 57662100 76882800 115324200 230648400
- Sum of all divisors σ(n): 811545280
- Sum of proper divisors (its aliquot sum) s(n): 580896880
- 230648400 is an abundant number, because the sum of its proper divisors (580896880) is greater than itself. Its abundance is 350248480
Bases of 230648400
- Binary: 11011011111101101010010100002
- Hexadecimal: 0xDBF6A50
- Base-36: 3TBLG0
Squares and roots of 230648400
- 230648400 squared (2306484002) is 53198684422560000
- 230648400 cubed (2306484003) is 12270191444168387904000000
-
The
square root of 230648400 is 15187.1129580313 -
The
cube root of 230648400 is 613.2677807487
Scales and comparisons
How big is 230648400?- 230,648,400 seconds is equal to 7 years, 17 weeks, 2 days, 13 hours.
-
To count from 1 to 230,648,400 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 230648400 cubic inches would be around 51.1 feet tall.
Recreational maths with 230648400
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