221247642
221,247,642 is an even composite number composed of six prime numbers multiplied together.
221247642 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 221247642:
2 × 3 × 72 × 11 × 37 × 432
(2 × 3 × 7 × 7 × 11 × 37 × 43 × 43)See below for interesting mathematical facts about the number 221247642 from the Numbermatics database.
Names of 221247642
- Cardinal: 221247642 can be written as Two hundred twenty-one million, two hundred forty-seven thousand, six hundred forty-two.
Scientific notation
- Scientific notation: 2.21247642 × 108
Factors of 221247642
Divisors of 221247642
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 11 14 21 22 33 37 42 43 49 66 74 77 86 98 111 129 147 154 222 231 258 259 294 301 407 462 473 518 539 602 777 814 903 946 1078 1221 1419 1554 1591 1617 1806 1813 1849 2107 2442 2838 2849 3182 3234 3311 3626 3698 4214 4773 5439 5547 5698 6321 6622 8547 9546 9933 10878 11094 11137 12642 12943 17094 17501 19866 19943 20339 22274 23177 25886 33411 35002 38829 39886 40678 46354 52503 59829 61017 66822 68413 69531 77658 77959 90601 105006 119658 122034 122507 136826 139062 142373 155918 181202 205239 233877 245014 271803 284746 367521 410478 427119 467754 478891 543606 735042 752543 854238 857549 957782 996611 1436673 1505086 1715098 1993222 2257629 2572647 2873346 2989833 3352237 4515258 5145294 5267801 5979666 6704474 10056711 10535602 15803403 20113422 31606806 36874607 73749214 110623821 221247642
- Sum of all divisors σ(n): 590434272
- Sum of proper divisors (its aliquot sum) s(n): 369186630
- 221247642 is an abundant number, because the sum of its proper divisors (369186630) is greater than itself. Its abundance is 147938988
Bases of 221247642
- Binary: 11010010111111111000100110102
- Hexadecimal: 0xD2FF89A
- Base-36: 3NQ3RU
Squares and roots of 221247642
- 221247642 squared (2212476422) is 48950519090560164
- 221247642 cubed (2212476423) is 10830186923462420744133288
-
The
square root of 221247642 is 14874.3955171295 -
The
cube root of 221247642 is 604.8201017839
Scales and comparisons
How big is 221247642?- 221,247,642 seconds is equal to 7 years, 1 week, 5 days, 17 hours, 40 minutes, 42 seconds.
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To count from 1 to 221,247,642 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 221247642 cubic inches would be around 50.4 feet tall.
Recreational maths with 221247642
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