22138368
22,138,368 is an even composite number composed of five prime numbers multiplied together.
22138368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 22138368:
29 × 3 × 7 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 29 × 71)See below for interesting mathematical facts about the number 22138368 from the Numbermatics database.
Names of 22138368
- Cardinal: 22138368 can be written as Twenty-two million, one hundred thirty-eight thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 2.2138368 × 107
Factors of 22138368
Divisors of 22138368
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 71 84 87 96 112 116 128 142 168 174 192 203 213 224 232 256 284 336 348 384 406 426 448 464 497 512 568 609 672 696 768 812 852 896 928 994 1136 1218 1344 1392 1491 1536 1624 1704 1792 1856 1988 2059 2272 2436 2688 2784 2982 3248 3408 3584 3712 3976 4118 4544 4872 5376 5568 5964 6177 6496 6816 7424 7952 8236 9088 9744 10752 11136 11928 12354 12992 13632 14413 14848 15904 16472 18176 19488 22272 23856 24708 25984 27264 28826 31808 32944 36352 38976 43239 44544 47712 49416 51968 54528 57652 63616 65888 77952 86478 95424 98832 103936 109056 115304 127232 131776 155904 172956 190848 197664 230608 254464 263552 311808 345912 381696 395328 461216 527104 691824 763392 790656 922432 1054208 1383648 1581312 1844864 2767296 3162624 3689728 5534592 7379456 11069184 22138368
- Sum of all divisors σ(n): 70709760
- Sum of proper divisors (its aliquot sum) s(n): 48571392
- 22138368 is an abundant number, because the sum of its proper divisors (48571392) is greater than itself. Its abundance is 26433024
Bases of 22138368
- Binary: 10101000111001110000000002
- Hexadecimal: 0x151CE00
- Base-36: D6I2O
Squares and roots of 22138368
- 22138368 squared (221383682) is 490107337703424
- 22138368 cubed (221383683) is 10850176601578675372032
-
The
square root of 22138368 is 4705.1427183455 -
The
cube root of 22138368 is 280.7901490853
Scales and comparisons
How big is 22138368?- 22,138,368 seconds is equal to 36 weeks, 4 days, 5 hours, 32 minutes, 48 seconds.
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To count from 1 to 22,138,368 would take you about two 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 22138368 cubic inches would be around 23.4 feet tall.
Recreational maths with 22138368
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