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204255216 = 24331153811
BaseRepresentation
bin11000010110010…
…10111111110000
3112020100020111000
430023022333300
5404242131331
632133522000
75030066154
oct1413127760
9466306430
10204255216
11a5329a70
12584a3300
1333417099
141d1ad064
1512dea0e6
hexc2caff0

204255216 has 160 divisors (see below), whose sum is σ = 652458240. Its totient is φ = 60652800.

The previous prime is 204255179. The next prime is 204255223. The reversal of 204255216 is 612552402.

204255216 is a `hidden beast` number, since 20 + 425 + 5 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 204255216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251451 + ... + 252261.

It is an arithmetic number, because the mean of its divisors is an integer number (4077864).

Almost surely, 2204255216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204255216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326229120).

204255216 is an abundant number, since it is smaller than the sum of its proper divisors (448203024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204255216 is a wasteful number, since it uses less digits than its factorization.

204255216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 204255216 is about 14291.7884115320. The cubic root of 204255216 is about 588.9219190418.

The spelling of 204255216 in words is "two hundred four million, two hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 53 54 66 72 88 99 106 108 132 144 159 176 198 212 216 264 297 318 396 424 432 477 528 583 594 636 792 811 848 954 1166 1188 1272 1431 1584 1622 1749 1908 2332 2376 2433 2544 2862 3244 3498 3816 4664 4752 4866 5247 5724 6488 6996 7299 7632 8921 9328 9732 10494 11448 12976 13992 14598 15741 17842 19464 20988 21897 22896 26763 27984 29196 31482 35684 38928 41976 42983 43794 53526 58392 62964 71368 80289 83952 85966 87588 107052 116784 125928 128949 142736 160578 171932 175176 214104 240867 251856 257898 321156 343864 350352 386847 428208 472813 481734 515796 642312 687728 773694 945626 963468 1031592 1160541 1284624 1418439 1547388 1891252 1926936 2063184 2321082 2836878 3094776 3782504 3853872 4255317 4642164 5673756 6189552 7565008 8510634 9284328 11347512 12765951 17021268 18568656 22695024 25531902 34042536 51063804 68085072 102127608 204255216