220401216
220,401,216 is an even composite number composed of five prime numbers multiplied together.
220401216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 220401216:
26 × 33 × 72 × 19 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 19 × 137)See below for interesting mathematical facts about the number 220401216 from the Numbermatics database.
Names of 220401216
- Cardinal: 220401216 can be written as Two hundred twenty million, four hundred one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.20401216 × 108
Factors of 220401216
Divisors of 220401216
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 49 54 56 57 63 64 72 76 84 96 98 108 112 114 126 133 137 144 147 152 168 171 189 192 196 216 224 228 252 266 274 288 294 304 336 342 378 392 399 411 432 441 448 456 504 513 532 548 576 588 608 672 684 756 784 798 822 864 882 912 931 959 1008 1026 1064 1096 1176 1197 1216 1233 1323 1344 1368 1512 1568 1596 1644 1728 1764 1824 1862 1918 2016 2052 2128 2192 2352 2394 2466 2603 2646 2736 2793 2877 3024 3136 3192 3288 3528 3591 3648 3699 3724 3836 4032 4104 4256 4384 4704 4788 4932 5206 5292 5472 5586 5754 6048 6384 6576 6713 7056 7182 7398 7448 7672 7809 8208 8379 8512 8631 8768 9408 9576 9864 10412 10584 10944 11172 11508 12096 12768 13152 13426 14112 14364 14796 14896 15344 15618 16416 16758 17262 18221 19152 19728 20139 20824 21168 22344 23016 23427 25137 25536 25893 26304 26852 28224 28728 29592 29792 30688 31236 32832 33516 34524 36442 38304 39456 40278 41648 42336 44688 46032 46854 50274 51786 53704 54663 57456 59184 59584 60417 61376 62472 67032 69048 70281 72884 76608 78912 80556 83296 84672 89376 92064 93708 100548 103572 107408 109326 114912 118368 120834 124944 127547 134064 138096 140562 145768 161112 163989 166592 178752 181251 184128 187416 201096 207144 214816 218652 229824 236736 241668 249888 255094 268128 276192 281124 291536 322224 327978 362502 374832 382641 402192 414288 429632 437304 483336 491967 499776 510188 536256 552384 562248 583072 644448 655956 725004 749664 765282 804384 828576 874608 966672 983934 1020376 1124496 1147923 1166144 1288896 1311912 1450008 1499328 1530564 1608768 1657152 1749216 1933344 1967868 2040752 2248992 2295846 2623824 2900016 3061128 3443769 3498432 3866688 3935736 4081504 4497984 4591692 5247648 5800032 6122256 6887538 7871472 8163008 9183384 10495296 11600064 12244512 13775076 15742944 18366768 24489024 27550152 31485888 36733536 55100304 73467072 110200608 220401216
- Sum of all divisors σ(n): 799185600
- Sum of proper divisors (its aliquot sum) s(n): 578784384
- 220401216 is an abundant number, because the sum of its proper divisors (578784384) is greater than itself. Its abundance is 358383168
Bases of 220401216
- Binary: 11010010001100001110010000002
- Hexadecimal: 0xD230E40
- Base-36: 3N7YO0
Squares and roots of 220401216
- 220401216 squared (2204012162) is 48576696014278656
- 220401216 cubed (2204012163) is 10706362870809369145245696
-
The
square root of 220401216 is 14845.9158019975 -
The
cube root of 220401216 is 604.0478303715
Scales and comparisons
How big is 220401216?- 220,401,216 seconds is equal to 7 years, 2 days, 22 hours, 33 minutes, 36 seconds.
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To count from 1 to 220,401,216 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 220401216 cubic inches would be around 50.3 feet tall.
Recreational maths with 220401216
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