230830080
230,830,080 is an even composite number composed of five prime numbers multiplied together.
230830080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 230830080:
212 × 3 × 5 × 13 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 17)See below for interesting mathematical facts about the number 230830080 from the Numbermatics database.
Names of 230830080
- Cardinal: 230830080 can be written as Two hundred thirty million, eight hundred thirty thousand and eighty.
Scientific notation
- Scientific notation: 2.3083008 × 108
Factors of 230830080
Divisors of 230830080
- Number of divisors d(n): 312
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 128 130 136 156 160 170 192 195 204 208 221 240 255 256 260 272 289 312 320 340 384 390 408 416 442 480 510 512 520 544 578 624 640 663 680 768 780 816 832 867 884 960 1020 1024 1040 1088 1105 1156 1248 1280 1326 1360 1445 1536 1560 1632 1664 1734 1768 1920 2040 2048 2080 2176 2210 2312 2496 2560 2652 2720 2890 3072 3120 3264 3315 3328 3468 3536 3757 3840 4080 4096 4160 4335 4352 4420 4624 4992 5120 5304 5440 5780 6144 6240 6528 6630 6656 6936 7072 7514 7680 8160 8320 8670 8704 8840 9248 9984 10240 10608 10880 11271 11560 12288 12480 13056 13260 13312 13872 14144 15028 15360 16320 16640 17340 17408 17680 18496 18785 19968 20480 21216 21760 22542 23120 24960 26112 26520 26624 27744 28288 30056 30720 32640 33280 34680 34816 35360 36992 37570 39936 42432 43520 45084 46240 49920 52224 53040 53248 55488 56355 56576 60112 61440 65280 66560 69360 69632 70720 73984 75140 79872 84864 87040 90168 92480 99840 104448 106080 110976 112710 113152 120224 130560 133120 138720 141440 147968 150280 159744 169728 174080 180336 184960 199680 208896 212160 221952 225420 226304 240448 261120 266240 277440 282880 295936 300560 339456 348160 360672 369920 399360 424320 443904 450840 452608 480896 522240 554880 565760 591872 601120 678912 721344 739840 798720 848640 887808 901680 905216 961792 1044480 1109760 1131520 1183744 1202240 1357824 1442688 1479680 1697280 1775616 1803360 1923584 2219520 2263040 2404480 2715648 2885376 2959360 3394560 3551232 3606720 3847168 4439040 4526080 4808960 5770752 5918720 6789120 7213440 7694336 8878080 9617920 11541504 13578240 14426880 15388672 17756160 19235840 23083008 28853760 38471680 46166016 57707520 76943360 115415040 230830080
- Sum of all divisors σ(n): 844918032
- Sum of proper divisors (its aliquot sum) s(n): 614087952
- 230830080 is an abundant number, because the sum of its proper divisors (614087952) is greater than itself. Its abundance is 383257872
Bases of 230830080
- Binary: 11011100001000110000000000002
- Hexadecimal: 0xDC23000
- Base-36: 3TFHMO
Squares and roots of 230830080
- 230830080 squared (2308300802) is 53282525832806400
- 230830080 cubed (2308300803) is 12299209700588767936512000
-
The
square root of 230830080 is 15193.0931676207 -
The
cube root of 230830080 is 613.4287606193
Scales and comparisons
How big is 230830080?- 230,830,080 seconds is equal to 7 years, 17 weeks, 4 days, 15 hours, 28 minutes.
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To count from 1 to 230,830,080 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 230830080 cubic inches would be around 51.1 feet tall.
Recreational maths with 230830080
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