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164662146 = 2361110267
BaseRepresentation
bin10011101000010…
…00101110000010
3102110211201000000
421310020232002
5314123142041
624201140430
74036414365
oct1164105602
9373751000
10164662146
1184a47120
124718a716
132816382c
1417c240dc
15e6c8bb6
hex9d08b82

164662146 has 56 divisors (see below), whose sum is σ = 404025264. Its totient is φ = 49892760.

The previous prime is 164662139. The next prime is 164662177. The reversal of 164662146 is 641266461.

164662146 is a `hidden beast` number, since 1 + 646 + 6 + 2 + 1 + 4 + 6 = 666.

It is a super-2 number, since 2×1646621462 = 54227244650650632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164662146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10905 + ... + 21171.

Almost surely, 2164662146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164662146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202012632).

164662146 is an abundant number, since it is smaller than the sum of its proper divisors (239363118).

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

164662146 is a wasteful number, since it uses less digits than its factorization.

164662146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298 (or 10283 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 164662146 is about 12832.0748906792. The cubic root of 164662146 is about 548.1060431116.

The spelling of 164662146 in words is "one hundred sixty-four million, six hundred sixty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 8019 10267 16038 20534 30801 61602 92403 112937 184806 225874 277209 338811 554418 677622 831627 1016433 1663254 2032866 2494881 3049299 4989762 6098598 7484643 9147897 14969286 18295794 27443691 54887382 82331073 164662146