23228800
23,228,800 is an even composite number composed of five prime numbers multiplied together.
23228800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 23228800:
27 × 52 × 7 × 17 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 17 × 61)See below for interesting mathematical facts about the number 23228800 from the Numbermatics database.
Names of 23228800
- Cardinal: 23228800 can be written as Twenty-three million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.32288 × 107
Factors of 23228800
Divisors of 23228800
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 61 64 68 70 80 85 100 112 119 122 128 136 140 160 170 175 200 224 238 244 272 280 305 320 340 350 400 425 427 448 476 488 544 560 595 610 640 680 700 800 850 854 896 952 976 1037 1088 1120 1190 1220 1360 1400 1525 1600 1700 1708 1904 1952 2074 2135 2176 2240 2380 2440 2720 2800 2975 3050 3200 3400 3416 3808 3904 4148 4270 4480 4760 4880 5185 5440 5600 5950 6100 6800 6832 7259 7616 7808 8296 8540 9520 9760 10370 10675 10880 11200 11900 12200 13600 13664 14518 15232 16592 17080 19040 19520 20740 21350 22400 23800 24400 25925 27200 27328 29036 33184 34160 36295 38080 39040 41480 42700 47600 48800 51850 54400 54656 58072 66368 68320 72590 76160 82960 85400 95200 97600 103700 116144 132736 136640 145180 165920 170800 181475 190400 195200 207400 232288 273280 290360 331840 341600 362950 380800 414800 464576 580720 663680 683200 725900 829600 929152 1161440 1366400 1451800 1659200 2322880 2903600 3318400 4645760 5807200 11614400 23228800
- Sum of all divisors σ(n): 70575840
- Sum of proper divisors (its aliquot sum) s(n): 47347040
- 23228800 is an abundant number, because the sum of its proper divisors (47347040) is greater than itself. Its abundance is 24118240
Bases of 23228800
- Binary: 10110001001110001100000002
- Hexadecimal: 0x1627180
- Base-36: DTVGG
Squares and roots of 23228800
- 23228800 squared (232288002) is 539577149440000
- 23228800 cubed (232288003) is 12533729688911872000000
-
The
square root of 23228800 is 4819.6265415487 -
The
cube root of 23228800 is 285.3265979913
Scales and comparisons
How big is 23228800?- 23,228,800 seconds is equal to 38 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 23,228,800 would take you about five weeks!
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 23228800 cubic inches would be around 23.8 feet tall.
Recreational maths with 23228800
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The information we have on file for 23228800 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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