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164550564 = 223219240571
BaseRepresentation
bin10011100111011…
…01011110100100
3102110122000221100
421303231132210
5314111104224
624154520100
74035441153
oct1163553644
9373560840
10164550564
1184980302
1247136030
1328124ac9
1417bd559a
15e6a5ac9
hex9ced7a4

164550564 has 36 divisors (see below), whose sum is σ = 437841040. Its totient is φ = 51963120.

The previous prime is 164550559. The next prime is 164550569. The reversal of 164550564 is 465055461.

164550564 is a `hidden beast` number, since 1 + 6 + 45 + 50 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (164550559) and next prime (164550569).

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

It is a super-2 number, since 2×1645505642 = 54153776225436192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164550569) 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, 119602 + ... + 120969.

Almost surely, 2164550564 is an apocalyptic number.

It is an amenable number.

164550564 is an abundant number, since it is smaller than the sum of its proper divisors (273290476).

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

164550564 is a wasteful number, since it uses less digits than its factorization.

164550564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240600 (or 240595 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 164550564 is about 12827.7263768760. The cubic root of 164550564 is about 547.9822085616.

The spelling of 164550564 in words is "one hundred sixty-four million, five hundred fifty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 240571 481142 721713 962284 1443426 2165139 2886852 4330278 4570849 8660556 9141698 13712547 18283396 27425094 41137641 54850188 82275282 164550564