Search a number
-
+
23192964 = 22321737897
BaseRepresentation
bin101100001111…
…0010110000100
31121122022202200
41120132112010
521414133324
62145034500
7401064654
oct130362604
947568680
1023192964
1112101243
127925a30
134a60862
14311a364
152081ec9
hex161e584

23192964 has 36 divisors (see below), whose sum is σ = 62076924. Its totient is φ = 7276032.

The previous prime is 23192951. The next prime is 23192989. The reversal of 23192964 is 46929132.

It can be written as a sum of positive squares in 2 ways, for example, as 7128900 + 16064064 = 2670^2 + 4008^2 .

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

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

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 18337 + ... + 19560.

It is an arithmetic number, because the mean of its divisors is an integer number (1724359).

Almost surely, 223192964 is an apocalyptic number.

It is an amenable number.

23192964 is an abundant number, since it is smaller than the sum of its proper divisors (38883960).

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

23192964 is a wasteful number, since it uses less digits than its factorization.

23192964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37924 (or 37919 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 23192964 is about 4815.9073911362. The cubic root of 23192964 is about 285.1797942156.

The spelling of 23192964 in words is "twenty-three million, one hundred ninety-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 37897 75794 113691 151588 227382 341073 454764 644249 682146 1288498 1364292 1932747 2576996 3865494 5798241 7730988 11596482 23192964