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23456133 = 3225710141
BaseRepresentation
bin101100101111…
…0100110000101
31122010200202200
41121132212011
522001044013
62154425113
7403242141
oct131364605
948120680
1023456133
1112270a38
127a32199
134b2358c
143188221
1520d4e73
hex165e985

23456133 has 12 divisors (see below), whose sum is σ = 34016268. Its totient is φ = 15575040.

The previous prime is 23456131. The next prime is 23456143. The reversal of 23456133 is 33165432.

It is a happy number.

23456133 is a `hidden beast` number, since 2 + 3 + 45 + 613 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15350724 + 8105409 = 3918^2 + 2847^2 .

It is not a de Polignac number, because 23456133 - 21 = 23456131 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23456097 and 23456106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23456131) 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 11 ways as a sum of consecutive naturals, for example, 2758 + ... + 7383.

It is an arithmetic number, because the mean of its divisors is an integer number (2834689).

Almost surely, 223456133 is an apocalyptic number.

It is an amenable number.

23456133 is a deficient number, since it is larger than the sum of its proper divisors (10560135).

23456133 is a wasteful number, since it uses less digits than its factorization.

23456133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10401 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 23456133 is about 4843.1532083964. The cubic root of 23456133 is about 286.2543786316.

The spelling of 23456133 in words is "twenty-three million, four hundred fifty-six thousand, one hundred thirty-three".

Divisors: 1 3 9 257 771 2313 10141 30423 91269 2606237 7818711 23456133