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22675968 = 293271937
BaseRepresentation
bin101011010000…
…0001000000000
31120200001120200
41112200020000
521301112333
62130005200
7363512460
oct126401000
946601520
1022675968
1111888877
127716800
13490c443
143023ba0
151ecdc13
hex15a0200

22675968 has 240 divisors, whose sum is σ = 80857920. Its totient is φ = 5971968.

The previous prime is 22675967. The next prime is 22676021. The reversal of 22675968 is 86957622.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (22675967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612846 + ... + 612882.

It is an arithmetic number, because the mean of its divisors is an integer number (336908).

Almost surely, 222675968 is an apocalyptic number.

22675968 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 22675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40428960).

22675968 is an abundant number, since it is smaller than the sum of its proper divisors (58181952).

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

22675968 is a wasteful number, since it uses less digits than its factorization.

22675968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 68 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 22675968 is about 4761.9290208906. The cubic root of 22675968 is about 283.0448638018.

The spelling of 22675968 in words is "twenty-two million, six hundred seventy-five thousand, nine hundred sixty-eight".