997825220
997,825,220 is an even composite number composed of five prime numbers multiplied together.
What does the number 997825220 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 72 divisors.
997825220 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 997825220:
22 × 5 × 72 × 313 × 3253
(2 × 2 × 5 × 7 × 7 × 313 × 3253)See below for interesting mathematical facts about the number 997825220 from the Numbermatics database.
Names of 997825220
- Cardinal: 997825220 can be written as Nine hundred ninety-seven million, eight hundred twenty-five thousand, two hundred twenty.
Scientific notation
- Scientific notation: 9.9782522 × 108
Factors of 997825220
Divisors of 997825220
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 313 490 626 980 1252 1565 2191 3130 3253 4382 6260 6506 8764 10955 13012 15337 16265 21910 22771 30674 32530 43820 45542 61348 65060 76685 91084 113855 153370 159397 227710 306740 318794 455420 637588 796985 1018189 1593970 2036378 3187940 4072756 5090945 7127323 10181890 14254646 20363780 28509292 35636615 49891261 71273230 99782522 142546460 199565044 249456305 498912610 997825220
- Sum of all divisors σ(n): 2446083864
- Sum of proper divisors (its aliquot sum) s(n): 1448258644
- 997825220 is an abundant number, because the sum of its proper divisors (1448258644) is greater than itself. Its abundance is 450433424
Bases of 997825220
- Binary: 1110110111100110011010110001002
- Hexadecimal: 0x3B799AC4
- Base-36: GI2UV8
Squares and roots of 997825220
- 997825220 squared (9978252202) is 995655169668048400
- 997825220 cubed (9978252203) is 993489838718157721700648000
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The
square root of 997825220 is 31588.3715946233 -
The
cube root of 997825220 is 999.2745471789
Scales and comparisons
How big is 997825220?- 997,825,220 seconds is equal to 31 years, 37 weeks, 5 days, 21 hours, 40 minutes, 20 seconds.
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To count from 1 to 997,825,220 would take you about forty-seven 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 997825220 cubic inches would be around 83.3 feet tall.
Recreational maths with 997825220
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