230972640
230,972,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 230972640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
230972640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 230972640:
25 × 3 × 5 × 389 × 1237
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 389 × 1237)See below for interesting mathematical facts about the number 230972640 from the Numbermatics database.
Names of 230972640
- Cardinal: 230972640 can be written as Two hundred thirty million, nine hundred seventy-two thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.3097264 × 108
Factors of 230972640
Divisors of 230972640
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 389 480 778 1167 1237 1556 1945 2334 2474 3112 3711 3890 4668 4948 5835 6185 6224 7422 7780 9336 9896 11670 12370 12448 14844 15560 18555 18672 19792 23340 24740 29688 31120 37110 37344 39584 46680 49480 59376 62240 74220 93360 98960 118752 148440 186720 197920 296880 481193 593760 962386 1443579 1924772 2405965 2887158 3849544 4811930 5774316 7217895 7699088 9623860 11548632 14435790 15398176 19247720 23097264 28871580 38495440 46194528 57743160 76990880 115486320 230972640
- Sum of all divisors σ(n): 730023840
- Sum of proper divisors (its aliquot sum) s(n): 499051200
- 230972640 is an abundant number, because the sum of its proper divisors (499051200) is greater than itself. Its abundance is 268078560
Bases of 230972640
- Binary: 11011100010001011100111000002
- Hexadecimal: 0xDC45CE0
- Base-36: 3TIJMO
Squares and roots of 230972640
- 230972640 squared (2309726402) is 53348360428569600
- 230972640 cubed (2309726403) is 12322011647858251935744000
-
The
square root of 230972640 is 15197.7840489987 -
The
cube root of 230972640 is 613.5550185825
Scales and comparisons
How big is 230972640?- 230,972,640 seconds is equal to 7 years, 17 weeks, 6 days, 7 hours, 4 minutes.
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To count from 1 to 230,972,640 would take you about eleven 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 230972640 cubic inches would be around 51.1 feet tall.
Recreational maths with 230972640
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The information we have on file for 230972640 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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