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22999968 = 253279861
BaseRepresentation
bin101011110111…
…1001110100000
31121021112000200
41113233032200
521341444333
62140545200
7366332205
oct127571640
947245020
1022999968
1111a8a242
127852200
1349c3a64
1430a9cac
152044c13
hex15ef3a0

22999968 has 36 divisors (see below), whose sum is σ = 65406978. Its totient is φ = 7666560.

The previous prime is 22999957. The next prime is 22999979. The reversal of 22999968 is 86999922.

It is an interprime number because it is at equal distance from previous prime (22999957) and next prime (22999979).

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 9072144 = 3732^2 + 3012^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39643 + ... + 40218.

Almost surely, 222999968 is an apocalyptic number.

It is an amenable number.

22999968 is an abundant number, since it is smaller than the sum of its proper divisors (42407010).

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

22999968 is a wasteful number, since it uses less digits than its factorization.

22999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79877 (or 79866 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 22999968 is about 4795.8281870809. The cubic root of 22999968 is about 284.3865660956.

The spelling of 22999968 in words is "twenty-two million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 79861 159722 239583 319444 479166 638888 718749 958332 1277776 1437498 1916664 2555552 2874996 3833328 5749992 7666656 11499984 22999968