230527752
230,527,752 is an even composite number composed of six prime numbers multiplied together.
What does the number 230527752 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
230527752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 230527752:
23 × 3 × 72 × 13 × 17 × 887
(2 × 2 × 2 × 3 × 7 × 7 × 13 × 17 × 887)See below for interesting mathematical facts about the number 230527752 from the Numbermatics database.
Names of 230527752
- Cardinal: 230527752 can be written as Two hundred thirty million, five hundred twenty-seven thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 2.30527752 × 108
Factors of 230527752
Divisors of 230527752
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 49 51 52 56 68 78 84 91 98 102 104 119 136 147 156 168 182 196 204 221 238 273 294 312 357 364 392 408 442 476 546 588 637 663 714 728 833 884 887 952 1092 1176 1274 1326 1428 1547 1666 1768 1774 1911 2184 2499 2548 2652 2661 2856 3094 3332 3548 3822 4641 4998 5096 5304 5322 6188 6209 6664 7096 7644 9282 9996 10644 10829 11531 12376 12418 15079 15288 18564 18627 19992 21288 21658 23062 24836 30158 32487 34593 37128 37254 43316 43463 45237 46124 49672 60316 64974 69186 74508 80717 86632 86926 90474 92248 105553 120632 129948 130389 138372 149016 161434 173852 180948 196027 211106 242151 259896 260778 276744 316659 322868 347704 361896 392054 422212 484302 521556 565019 588081 633318 645736 738871 784108 844424 968604 1043112 1130038 1176162 1266636 1372189 1477742 1568216 1695057 1937208 2216613 2260076 2352324 2533272 2744378 2955484 3390114 4116567 4433226 4520152 4704648 5488756 5910968 6780228 8233134 8866452 9605323 10977512 13560456 16466268 17732904 19210646 28815969 32932536 38421292 57631938 76842584 115263876 230527752
- Sum of all divisors σ(n): 765313920
- Sum of proper divisors (its aliquot sum) s(n): 534786168
- 230527752 is an abundant number, because the sum of its proper divisors (534786168) is greater than itself. Its abundance is 304258416
Bases of 230527752
- Binary: 11011011110110010011000010002
- Hexadecimal: 0xDBD9308
- Base-36: 3T90CO
Squares and roots of 230527752
- 230527752 squared (2305277522) is 53143044442173504
- 230527752 cubed (2305277523) is 12250946569690351871083008
-
The
square root of 230527752 is 15183.1403866261 -
The
cube root of 230527752 is 613.1608323433
Scales and comparisons
How big is 230527752?- 230,527,752 seconds is equal to 7 years, 17 weeks, 1 day, 3 hours, 29 minutes, 12 seconds.
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To count from 1 to 230,527,752 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 230527752 cubic inches would be around 51.1 feet tall.
Recreational maths with 230527752
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