9225216
9,225,216 is an even composite number composed of five prime numbers multiplied together.
9225216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 9225216:
210 × 32 × 7 × 11 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13)See below for interesting mathematical facts about the number 9225216 from the Numbermatics database.
Names of 9225216
- Cardinal: 9225216 can be written as Nine million, two hundred twenty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 9.225216 × 106
Factors of 9225216
Divisors of 9225216
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 63 64 66 72 77 78 84 88 91 96 99 104 112 117 126 128 132 143 144 154 156 168 176 182 192 198 208 224 231 234 252 256 264 273 286 288 308 312 336 352 364 384 396 416 429 448 462 468 504 512 528 546 572 576 616 624 672 693 704 728 768 792 819 832 858 896 924 936 1001 1008 1024 1056 1092 1144 1152 1232 1248 1287 1344 1386 1408 1456 1536 1584 1638 1664 1716 1792 1848 1872 2002 2016 2112 2184 2288 2304 2464 2496 2574 2688 2772 2816 2912 3003 3072 3168 3276 3328 3432 3584 3696 3744 4004 4032 4224 4368 4576 4608 4928 4992 5148 5376 5544 5632 5824 6006 6336 6552 6656 6864 7168 7392 7488 8008 8064 8448 8736 9009 9152 9216 9856 9984 10296 10752 11088 11264 11648 12012 12672 13104 13312 13728 14784 14976 16016 16128 16896 17472 18018 18304 19712 19968 20592 21504 22176 23296 24024 25344 26208 27456 29568 29952 32032 32256 33792 34944 36036 36608 39424 39936 41184 44352 46592 48048 50688 52416 54912 59136 59904 64064 64512 69888 72072 73216 78848 82368 88704 93184 96096 101376 104832 109824 118272 119808 128128 139776 144144 146432 164736 177408 192192 209664 219648 236544 256256 279552 288288 329472 354816 384384 419328 439296 512512 576576 658944 709632 768768 838656 1025024 1153152 1317888 1537536 2306304 3075072 4612608 9225216
- Sum of all divisors σ(n): 35765184
- Sum of proper divisors (its aliquot sum) s(n): 26539968
- 9225216 is an abundant number, because the sum of its proper divisors (26539968) is greater than itself. Its abundance is 17314752
Bases of 9225216
- Binary: 1000110011000100000000002
- Hexadecimal: 0x8CC400
- Base-36: 5HQ80
Squares and roots of 9225216
- 9225216 squared (92252162) is 85104610246656
- 9225216 cubed (92252163) is 785108412121214877696
-
The
square root of 9225216 is 3037.3040677547 -
The
cube root of 9225216 is 209.7291746913
Scales and comparisons
How big is 9225216?- 9,225,216 seconds is equal to 15 weeks, 1 day, 18 hours, 33 minutes, 36 seconds.
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To count from 1 to 9,225,216 would take you about twenty-two 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 9225216 cubic inches would be around 17.5 feet tall.
Recreational maths with 9225216
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