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23412168 = 23321325013
BaseRepresentation
bin101100101001…
…1110111001000
31122001110110100
41121103313020
521443142133
62153445400
7403000023
oct131236710
948043410
1023412168
11122409aa
127a10860
134b09570
1431761ba
1520c6e13
hex1653dc8

23412168 has 48 divisors (see below), whose sum is σ = 68288220. Its totient is φ = 7203456.

The previous prime is 23412163. The next prime is 23412217. The reversal of 23412168 is 86121432.

It can be written as a sum of positive squares in 2 ways, for example, as 22867524 + 544644 = 4782^2 + 738^2 .

It is a super-2 number, since 2×234121682 = 1096259220920448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23412163) 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, 11571 + ... + 13442.

Almost surely, 223412168 is an apocalyptic number.

It is an amenable number.

23412168 is an abundant number, since it is smaller than the sum of its proper divisors (44876052).

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

23412168 is a wasteful number, since it uses less digits than its factorization.

23412168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25038 (or 25031 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 23412168 is about 4838.6121977278. The cubic root of 23412168 is about 286.0754198214.

The spelling of 23412168 in words is "twenty-three million, four hundred twelve thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 25013 50026 75039 100052 150078 200104 225117 300156 325169 450234 600312 650338 900468 975507 1300676 1800936 1951014 2601352 2926521 3902028 5853042 7804056 11706084 23412168