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204136164 = 223242113469
BaseRepresentation
bin11000010101011…
…01111011100100
3112020010012011200
430022231323210
5404224324124
632131202500
75026062111
oct1412557344
9466105150
10204136164
11a5258581
1258446430
13333a4b3b
141d17b908
1512dc4bc9
hexc2adee4

204136164 has 36 divisors (see below), whose sum is σ = 517274940. Its totient is φ = 67878720.

The previous prime is 204136157. The next prime is 204136169. The reversal of 204136164 is 461631402.

204136164 is a `hidden beast` number, since 2 + 0 + 41 + 3 + 616 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 158004900 = 6792^2 + 12570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (204136169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8422 + ... + 21890.

Almost surely, 2204136164 is an apocalyptic number.

It is an amenable number.

204136164 is an abundant number, since it is smaller than the sum of its proper divisors (313138776).

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

204136164 is a wasteful number, since it uses less digits than its factorization.

204136164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 204136164 is about 14287.6227553782. The cubic root of 204136164 is about 588.8074773155.

Adding to 204136164 its reverse (461631402), we get a palindrome (665767566).

The spelling of 204136164 in words is "two hundred four million, one hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 421 842 1263 1684 2526 3789 5052 7578 13469 15156 26938 40407 53876 80814 121221 161628 242442 484884 5670449 11340898 17011347 22681796 34022694 51034041 68045388 102068082 204136164