221337116
221,337,116 is an even composite number composed of six prime numbers multiplied together.
221337116 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 221337116:
22 × 72 × 11 × 13 × 53 × 149
(2 × 2 × 7 × 7 × 11 × 13 × 53 × 149)See below for interesting mathematical facts about the number 221337116 from the Numbermatics database.
Names of 221337116
- Cardinal: 221337116 can be written as Two hundred twenty-one million, three hundred thirty-seven thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 2.21337116 × 108
Factors of 221337116
Divisors of 221337116
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 11 13 14 22 26 28 44 49 52 53 77 91 98 106 143 149 154 182 196 212 286 298 308 364 371 539 572 583 596 637 689 742 1001 1043 1078 1166 1274 1378 1484 1639 1937 2002 2086 2156 2332 2548 2597 2756 3278 3874 4004 4081 4172 4823 5194 6556 7007 7301 7579 7748 7897 8162 9646 10388 11473 13559 14014 14602 15158 15794 16324 19292 21307 22946 27118 28028 28567 29204 30316 31588 33761 42614 45892 53053 54236 55279 57134 67522 80311 85228 86867 94913 102661 106106 110558 114268 135044 149149 160622 173734 189826 205322 212212 221116 298298 321244 347468 371371 379652 386953 410644 596596 608069 718627 742742 773906 1044043 1129271 1216138 1437254 1485484 1547812 2088086 2258542 2432276 2874508 4176172 4256483 4517084 5030389 7904897 8512966 10060778 15809794 17025932 20121556 31619588 55334279 110668558 221337116
- Sum of all divisors σ(n): 542959200
- Sum of proper divisors (its aliquot sum) s(n): 321622084
- 221337116 is an abundant number, because the sum of its proper divisors (321622084) is greater than itself. Its abundance is 100284968
Bases of 221337116
- Binary: 11010011000101010110000111002
- Hexadecimal: 0xD31561C
- Base-36: 3NS0T8
Squares and roots of 221337116
- 221337116 squared (2213371162) is 48990118919197456
- 221337116 cubed (2213371163) is 10843331634072201945576896
-
The
square root of 221337116 is 14877.4028647475 -
The
cube root of 221337116 is 604.9016218701
Scales and comparisons
How big is 221337116?- 221,337,116 seconds is equal to 7 years, 1 week, 6 days, 18 hours, 31 minutes, 56 seconds.
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To count from 1 to 221,337,116 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 221337116 cubic inches would be around 50.4 feet tall.
Recreational maths with 221337116
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