221049948
221,049,948 is an even composite number composed of six prime numbers multiplied together.
What does the number 221049948 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 96 divisors.
221049948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 221049948:
22 × 3 × 7 × 29 × 103 × 881
(2 × 2 × 3 × 7 × 29 × 103 × 881)See below for interesting mathematical facts about the number 221049948 from the Numbermatics database.
Names of 221049948
- Cardinal: 221049948 can be written as Two hundred twenty-one million, forty-nine thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 2.21049948 × 108
Factors of 221049948
Divisors of 221049948
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 103 116 174 203 206 309 348 406 412 609 618 721 812 881 1218 1236 1442 1762 2163 2436 2643 2884 2987 3524 4326 5286 5974 6167 8652 8961 10572 11948 12334 17922 18501 20909 24668 25549 35844 37002 41818 51098 62727 74004 76647 83636 90743 102196 125454 153294 178843 181486 250908 272229 306588 357686 362972 536529 544458 635201 715372 1073058 1088916 1270402 1905603 2146116 2540804 2631547 3811206 5263094 7622412 7894641 10526188 15789282 18420829 31578564 36841658 55262487 73683316 110524974 221049948
- Sum of all divisors σ(n): 616412160
- Sum of proper divisors (its aliquot sum) s(n): 395362212
- 221049948 is an abundant number, because the sum of its proper divisors (395362212) is greater than itself. Its abundance is 174312264
Bases of 221049948
- Binary: 11010010110011110100010111002
- Hexadecimal: 0xD2CF45C
- Base-36: 3NLV8C
Squares and roots of 221049948
- 221049948 squared (2210499482) is 48863079510802704
- 221049948 cubed (2210499483) is 10801181184982803157459392
-
The
square root of 221049948 is 14867.7485854449 -
The
cube root of 221049948 is 604.6399041027
Scales and comparisons
How big is 221049948?- 221,049,948 seconds is equal to 7 years, 1 week, 3 days, 10 hours, 45 minutes, 48 seconds.
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To count from 1 to 221,049,948 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 221049948 cubic inches would be around 50.4 feet tall.
Recreational maths with 221049948
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