Search a number
-
+
23265117 = 331078053
BaseRepresentation
bin101100010111…
…1111101011101
31121202222202000
41120233331131
521423440432
62150352513
7401515221
oct130577535
947688660
1023265117
1112150477
12795b739
134a87655
143138781
15209857c
hex162ff5d

23265117 has 16 divisors (see below), whose sum is σ = 34793280. Its totient is φ = 15363216.

The previous prime is 23265113. The next prime is 23265127. The reversal of 23265117 is 71156232.

It is a happy number.

23265117 is a `hidden beast` number, since 2 + 3 + 2 + 651 + 1 + 7 = 666.

It is not a de Polignac number, because 23265117 - 22 = 23265113 is a prime.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (2174580).

Almost surely, 223265117 is an apocalyptic number.

23265117 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23265117 is a deficient number, since it is larger than the sum of its proper divisors (11528163).

23265117 is a wasteful number, since it uses less digits than its factorization.

23265117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8163 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 23265117 is about 4823.3926856519. The cubic root of 23265117 is about 285.4752182456.

The spelling of 23265117 in words is "twenty-three million, two hundred sixty-five thousand, one hundred seventeen".

Divisors: 1 3 9 27 107 321 963 2889 8053 24159 72477 217431 861671 2585013 7755039 23265117