23188968
23,188,968 is an even composite number composed of six prime numbers multiplied together.
23188968 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 23188968:
23 × 32 × 11 × 19 × 23 × 67
(2 × 2 × 2 × 3 × 3 × 11 × 19 × 23 × 67)See below for interesting mathematical facts about the number 23188968 from the Numbermatics database.
Names of 23188968
- Cardinal: 23188968 can be written as Twenty-three million, one hundred eighty-eight thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 2.3188968 × 107
Factors of 23188968
Divisors of 23188968
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 19 22 23 24 33 36 38 44 46 57 66 67 69 72 76 88 92 99 114 132 134 138 152 171 184 198 201 207 209 228 253 264 268 276 342 396 402 414 418 437 456 506 536 552 603 627 684 737 759 792 804 828 836 874 1012 1206 1254 1273 1311 1368 1474 1518 1541 1608 1656 1672 1748 1881 2024 2211 2277 2412 2508 2546 2622 2948 3036 3082 3496 3762 3819 3933 4422 4554 4623 4807 4824 5016 5092 5244 5896 6072 6164 6633 7524 7638 7866 8844 9108 9246 9614 10184 10488 11457 12328 13266 13869 14003 14421 15048 15276 15732 16951 17688 18216 18492 19228 22914 26532 27738 28006 28842 29279 30552 31464 33902 36984 38456 42009 43263 45828 50853 53064 55476 56012 57684 58558 67804 84018 86526 87837 91656 101706 110952 112024 115368 117116 126027 135608 152559 168036 173052 175674 203412 234232 252054 263511 305118 322069 336072 346104 351348 406824 504108 527022 610236 644138 702696 966207 1008216 1054044 1220472 1288276 1932414 2108088 2576552 2898621 3864828 5797242 7729656 11594484 23188968
- Sum of all divisors σ(n): 76377600
- Sum of proper divisors (its aliquot sum) s(n): 53188632
- 23188968 is an abundant number, because the sum of its proper divisors (53188632) is greater than itself. Its abundance is 29999664
Bases of 23188968
- Binary: 10110000111010101111010002
- Hexadecimal: 0x161D5E8
- Base-36: DT0Q0
Squares and roots of 23188968
- 23188968 squared (231889682) is 537728236905024
- 23188968 cubed (231889683) is 12469362878287020575232
-
The
square root of 23188968 is 4815.4924981771 -
The
cube root of 23188968 is 285.1634150541
Scales and comparisons
How big is 23188968?- 23,188,968 seconds is equal to 38 weeks, 2 days, 9 hours, 22 minutes, 48 seconds.
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To count from 1 to 23,188,968 would take you about five weeks!
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 23188968 cubic inches would be around 23.8 feet tall.
Recreational maths with 23188968
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