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22875168 = 253239997
BaseRepresentation
bin101011101000…
…0110000100000
31121001011211110
41113100300200
521324001133
62134143320
7365302311
oct127206040
947034743
1022875168
1111a044a8
1277b1b40
13497c004
143076608
15201cc63
hex15d0c20

22875168 has 48 divisors (see below), whose sum is σ = 60359040. Its totient is φ = 7585536.

The previous prime is 22875157. The next prime is 22875169. The reversal of 22875168 is 86157822.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×228751682 = 1046546622056448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22875169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22446 + ... + 23442.

It is an arithmetic number, because the mean of its divisors is an integer number (1257480).

Almost surely, 222875168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22875168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30179520).

22875168 is an abundant number, since it is smaller than the sum of its proper divisors (37483872).

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

22875168 is a wasteful number, since it uses less digits than its factorization.

22875168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1241 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 22875168 is about 4782.7991803964. The cubic root of 22875168 is about 283.8712634805.

The spelling of 22875168 in words is "twenty-two million, eight hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 997 1434 1912 1994 2868 2991 3824 3988 5736 5982 7648 7976 11472 11964 15952 22944 23928 31904 47856 95712 238283 476566 714849 953132 1429698 1906264 2859396 3812528 5718792 7625056 11437584 22875168