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164834564 = 22312137313
BaseRepresentation
bin10011101001100…
…10110100000100
3102111011110111212
421310302310010
5314144201224
624204550552
74041033146
oct1164626404
9374143455
10164834564
1185054714
1247252458
13281c415b
1417c6ac96
15e70ed0e
hex9d32d04

164834564 has 36 divisors (see below), whose sum is σ = 301200732. Its totient is φ = 78923520.

The previous prime is 164834563. The next prime is 164834581. The reversal of 164834564 is 465438461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34692100 + 130142464 = 5890^2 + 11408^2 .

It is not an unprimeable number, because it can be changed into a prime (164834563) 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, 526472 + ... + 526784.

It is an arithmetic number, because the mean of its divisors is an integer number (8366687).

Almost surely, 2164834564 is an apocalyptic number.

It is an amenable number.

164834564 is a deficient number, since it is larger than the sum of its proper divisors (136366168).

164834564 is a wasteful number, since it uses less digits than its factorization.

164834564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 483 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 164834564 is about 12838.7913761382. The cubic root of 164834564 is about 548.2972839530.

The spelling of 164834564 in words is "one hundred sixty-four million, eight hundred thirty-four thousand, five hundred sixty-four".

Divisors: 1 2 4 31 62 124 137 274 313 548 626 961 1252 1922 3844 4247 8494 9703 16988 19406 38812 42881 85762 131657 171524 263314 300793 526628 601586 1203172 1329311 2658622 5317244 41208641 82417282 164834564