213228288
213,228,288 is an even composite number composed of five prime numbers multiplied together.
213228288 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 213228288:
28 × 34 × 7 × 13 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 113)See below for interesting mathematical facts about the number 213228288 from the Numbermatics database.
Names of 213228288
- Cardinal: 213228288 can be written as Two hundred thirteen million, two hundred twenty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 2.13228288 × 108
Factors of 213228288
Divisors of 213228288
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 81 84 91 96 104 108 112 113 117 126 128 144 156 162 168 182 189 192 208 216 224 226 234 252 256 273 288 312 324 336 339 351 364 378 384 416 432 448 452 468 504 546 567 576 624 648 672 678 702 728 756 768 791 819 832 864 896 904 936 1008 1017 1053 1092 1134 1152 1248 1296 1344 1356 1404 1456 1469 1512 1582 1638 1664 1728 1792 1808 1872 2016 2034 2106 2184 2268 2304 2373 2457 2496 2592 2688 2712 2808 2912 2938 3024 3051 3164 3276 3328 3456 3616 3744 4032 4068 4212 4368 4407 4536 4746 4914 4992 5184 5376 5424 5616 5824 5876 6048 6102 6328 6552 6912 7119 7232 7371 7488 8064 8136 8424 8736 8814 9072 9153 9492 9828 9984 10283 10368 10848 11232 11648 11752 12096 12204 12656 13104 13221 14238 14464 14742 14976 16128 16272 16848 17472 17628 18144 18306 18984 19656 20566 20736 21357 21696 22464 23296 23504 24192 24408 25312 26208 26442 28476 28928 29484 29952 30849 32544 33696 34944 35256 36288 36612 37968 39312 39663 41132 42714 43392 44928 47008 48384 48816 50624 52416 52884 56952 58968 61698 64071 65088 67392 69888 70512 72576 73224 75936 78624 79326 82264 85428 86784 89856 92547 94016 97632 101248 104832 105768 113904 117936 118989 123396 128142 130176 134784 141024 145152 146448 151872 157248 158652 164528 170856 185094 188032 195264 202496 209664 211536 227808 235872 237978 246792 256284 260352 269568 277641 282048 292896 303744 314496 317304 329056 341712 370188 376064 390528 423072 455616 471744 475956 493584 512568 555282 564096 585792 607488 628992 634608 658112 683424 740376 781056 832923 846144 911232 943488 951912 987168 1025136 1110564 1128192 1171584 1269216 1316224 1366848 1480752 1665846 1692288 1822464 1886976 1903824 1974336 2050272 2221128 2343168 2538432 2632448 2733696 2961504 3331692 3384576 3807648 3948672 4100544 4442256 5076864 5467392 5923008 6663384 7615296 7897344 8201088 8884512 10153728 11846016 13326768 15230592 16402176 17769024 23692032 26653536 30461184 35538048 53307072 71076096 106614144 213228288
- Sum of all divisors σ(n): 789458208
- Sum of proper divisors (its aliquot sum) s(n): 576229920
- 213228288 is an abundant number, because the sum of its proper divisors (576229920) is greater than itself. Its abundance is 363001632
Bases of 213228288
- Binary: 11001011010110011011000000002
- Hexadecimal: 0xCB59B00
- Base-36: 3IY800
Squares and roots of 213228288
- 213228288 squared (2132282882) is 45466302803410944
- 213228288 cubed (2132282883) is 9694701908460916149583872
-
The
square root of 213228288 is 14602.3384428659 -
The
cube root of 213228288 is 597.4225437197
Scales and comparisons
How big is 213228288?- 213,228,288 seconds is equal to 6 years, 40 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 213,228,288 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 213228288 cubic inches would be around 49.8 feet tall.
Recreational maths with 213228288
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