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204201864 = 23337731223
BaseRepresentation
bin11000010101111…
…01111110001000
3112020020112022000
430022331332020
5404233424424
632132431000
75026454466
oct1412757610
9466215260
10204201864
11a52a2979
1258478460
13333c8a09
141d197836
1512dd93c9
hexc2bdf88

204201864 has 64 divisors (see below), whose sum is σ = 568425600. Its totient is φ = 67923648.

The previous prime is 204201817. The next prime is 204201871. The reversal of 204201864 is 468102402.

It is a super-2 number, since 2×2042018642 = 83396802522148992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166357 + ... + 167579.

It is an arithmetic number, because the mean of its divisors is an integer number (8881650).

Almost surely, 2204201864 is an apocalyptic number.

204201864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204201864 is an abundant number, since it is smaller than the sum of its proper divisors (364223736).

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

204201864 is a wasteful number, since it uses less digits than its factorization.

204201864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 204201864 is about 14289.9217632568. The cubic root of 204201864 is about 588.8706385916.

The spelling of 204201864 in words is "two hundred four million, two hundred one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 773 1223 1546 2319 2446 3092 3669 4638 4892 6184 6957 7338 9276 9784 11007 13914 14676 18552 20871 22014 27828 29352 33021 41742 44028 55656 66042 83484 88056 132084 166968 264168 945379 1890758 2836137 3781516 5672274 7563032 8508411 11344548 17016822 22689096 25525233 34033644 51050466 68067288 102100932 204201864