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23166164 = 2274371271
BaseRepresentation
bin101100001011…
…1110011010100
31121120222000002
41120113303110
521412304124
62144310432
7400623560
oct130276324
947528002
1023166164
111209309a
127912418
134a515b8
1431106a0
1520790ae
hex1617cd4

23166164 has 48 divisors (see below), whose sum is σ = 48254976. Its totient is φ = 9525600.

The previous prime is 23166163. The next prime is 23166167. The reversal of 23166164 is 46166132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23166163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85349 + ... + 85619.

It is an arithmetic number, because the mean of its divisors is an integer number (1005312).

Almost surely, 223166164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23166164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127488).

23166164 is an abundant number, since it is smaller than the sum of its proper divisors (25088812).

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

23166164 is a wasteful number, since it uses less digits than its factorization.

23166164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 23166164 is about 4813.1241413452. The cubic root of 23166164 is about 285.0699079560.

The spelling of 23166164 in words is "twenty-three million, one hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 43 71 86 142 172 271 284 301 497 542 602 994 1084 1204 1897 1988 3053 3794 6106 7588 11653 12212 19241 21371 23306 38482 42742 46612 76964 81571 85484 134687 163142 269374 326284 538748 827363 1654726 3309452 5791541 11583082 23166164