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23814168 = 2337229619
BaseRepresentation
bin101101011011…
…0000000011000
31122210212220020
41122312000120
522044023133
62210230440
7406263030
oct132660030
948725806
1023814168
1112495a34
127b85420
134c1a531
14323c8c0
1521560b3
hex16b6018

23814168 has 64 divisors (see below), whose sum is σ = 68448000. Its totient is φ = 6763392.

The previous prime is 23814157. The next prime is 23814173. The reversal of 23814168 is 86141832.

It is a super-2 number, since 2×238141682 = 1134229195064448, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38163 + ... + 38781.

It is an arithmetic number, because the mean of its divisors is an integer number (1069500).

Almost surely, 223814168 is an apocalyptic number.

23814168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23814168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224000).

23814168 is an abundant number, since it is smaller than the sum of its proper divisors (44633832).

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

23814168 is a wasteful number, since it uses less digits than its factorization.

23814168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 23814168 is about 4879.9762294503. The cubic root of 23814168 is about 287.7034949979.

The spelling of 23814168 in words is "twenty-three million, eight hundred fourteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 619 687 916 1238 1374 1603 1832 1857 2476 2748 3206 3714 4333 4809 4952 5496 6412 7428 8666 9618 12824 12999 14856 17332 19236 25998 34664 38472 51996 103992 141751 283502 425253 567004 850506 992257 1134008 1701012 1984514 2976771 3402024 3969028 5953542 7938056 11907084 23814168