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23164125 = 353223277
BaseRepresentation
bin101100001011…
…1010011011101
31121120212012120
41120113103131
521412223000
62144253153
7400614615
oct130272335
947525176
1023164125
1112091606
1279111b9
134a506aa
14310da45
1520786a0
hex16174dd

23164125 has 32 divisors (see below), whose sum is σ = 38857728. Its totient is φ = 12254400.

The previous prime is 23164117. The next prime is 23164129. The reversal of 23164125 is 52146132.

It is not a de Polignac number, because 23164125 - 23 = 23164117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23164095 and 23164104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23164129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83487 + ... + 83763.

It is an arithmetic number, because the mean of its divisors is an integer number (1214304).

Almost surely, 223164125 is an apocalyptic number.

23164125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23164125 is a deficient number, since it is larger than the sum of its proper divisors (15693603).

23164125 is a wasteful number, since it uses less digits than its factorization.

23164125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 23164125 is about 4812.9123199992. The cubic root of 23164125 is about 285.0615441112.

It can be divided in two parts, 2316 and 4125, that added together give a triangular number (6441 = T113).

The spelling of 23164125 in words is "twenty-three million, one hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 223 277 375 669 831 1115 1385 3345 4155 5575 6925 16725 20775 27875 34625 61771 83625 103875 185313 308855 926565 1544275 4632825 7721375 23164125