221638144
221,638,144 is an even composite number composed of five prime numbers multiplied together.
221638144 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 221638144:
29 × 7 × 13 × 67 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 67 × 71)See below for interesting mathematical facts about the number 221638144 from the Numbermatics database.
Names of 221638144
- Cardinal: 221638144 can be written as Two hundred twenty-one million, six hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 2.21638144 × 108
Factors of 221638144
Divisors of 221638144
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 64 67 71 91 104 112 128 134 142 182 208 224 256 268 284 364 416 448 469 497 512 536 568 728 832 871 896 923 938 994 1072 1136 1456 1664 1742 1792 1846 1876 1988 2144 2272 2912 3328 3484 3584 3692 3752 3976 4288 4544 4757 5824 6097 6461 6656 6968 7384 7504 7952 8576 9088 9514 11648 12194 12922 13936 14768 15008 15904 17152 18176 19028 23296 24388 25844 27872 29536 30016 31808 33299 34304 36352 38056 46592 48776 51688 55744 59072 60032 61841 63616 66598 76112 97552 103376 111488 118144 120064 123682 127232 133196 152224 195104 206752 222976 236288 240128 247364 254464 266392 304448 390208 413504 432887 445952 472576 494728 532784 608896 780416 827008 865774 989456 1065568 1217792 1560832 1654016 1731548 1978912 2131136 2435584 3121664 3308032 3463096 3957824 4262272 6926192 7915648 8524544 13852384 15831296 17049088 27704768 31662592 55409536 110819072 221638144
- Sum of all divisors σ(n): 560964096
- Sum of proper divisors (its aliquot sum) s(n): 339325952
- 221638144 is an abundant number, because the sum of its proper divisors (339325952) is greater than itself. Its abundance is 117687808
Bases of 221638144
- Binary: 11010011010111101110000000002
- Hexadecimal: 0xD35EE00
- Base-36: 3NYH34
Squares and roots of 221638144
- 221638144 squared (2216381442) is 49123466875764736
- 221638144 cubed (2216381443) is 10887634025189974667689984
-
The
square root of 221638144 is 14887.5163811833 -
The
cube root of 221638144 is 605.1757283851
Scales and comparisons
How big is 221638144?- 221,638,144 seconds is equal to 7 years, 2 weeks, 3 days, 6 hours, 9 minutes, 4 seconds.
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To count from 1 to 221,638,144 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 221638144 cubic inches would be around 50.4 feet tall.
Recreational maths with 221638144
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