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205053444 = 2234632881
BaseRepresentation
bin11000011100011…
…01111000000100
3112021211210110000
430032031320010
5404443202234
632203001300
75036632311
oct1416157004
9467753400
10205053444
11a5824762
1258809230
13336364cb
141d339d08
1513006899
hexc38de04

205053444 has 30 divisors (see below), whose sum is σ = 536051054. Its totient is φ = 68351040.

The previous prime is 205053421. The next prime is 205053451. The reversal of 205053444 is 444350502.

It can be written as a sum of positive squares in only one way, i.e., 199148544 + 5904900 = 14112^2 + 2430^2 .

It is a super-2 number, since 2×2050534442 = 84093829792522272, 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 9 ways as a sum of consecutive naturals, for example, 316117 + ... + 316764.

Almost surely, 2205053444 is an apocalyptic number.

It is an amenable number.

205053444 is an abundant number, since it is smaller than the sum of its proper divisors (330997610).

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

205053444 is a wasteful number, since it uses less digits than its factorization.

205053444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632897 (or 632886 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 205053444 is about 14319.6872870884. The cubic root of 205053444 is about 589.6880894669.

The spelling of 205053444 in words is "two hundred five million, fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 632881 1265762 1898643 2531524 3797286 5695929 7594572 11391858 17087787 22783716 34175574 51263361 68351148 102526722 205053444