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23265045 = 3253789157
BaseRepresentation
bin101100010111…
…1111100010101
31121202222122100
41120233330111
521423440140
62150352313
7401515056
oct130577425
947688570
1023265045
1112150411
12795b699
134a875cb
14313872d
152098530
hex162ff15

23265045 has 48 divisors (see below), whose sum is σ = 42148080. Its totient is φ = 11860992.

The previous prime is 23265043. The next prime is 23265049. The reversal of 23265045 is 54056232.

23265045 is a `hidden beast` number, since 2 + 3 + 2 + 650 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 311364 + 22953681 = 558^2 + 4791^2 .

It is not a de Polignac number, because 23265045 - 21 = 23265043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148107 + ... + 148263.

It is an arithmetic number, because the mean of its divisors is an integer number (878085).

Almost surely, 223265045 is an apocalyptic number.

It is an amenable number.

23265045 is a deficient number, since it is larger than the sum of its proper divisors (18883035).

23265045 is a wasteful number, since it uses less digits than its factorization.

23265045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 23265045 is about 4823.3852220199. The cubic root of 23265045 is about 285.4749237527.

The spelling of 23265045 in words is "twenty-three million, two hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 9 15 37 45 89 111 157 185 267 333 445 471 555 785 801 1335 1413 1665 2355 3293 4005 5809 7065 9879 13973 16465 17427 29045 29637 41919 49395 52281 69865 87135 125757 148185 209595 261405 517001 628785 1551003 2585005 4653009 7755015 23265045