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22978368 = 2632741139
BaseRepresentation
bin101011110100…
…1111101000000
31121020102101200
41113221331000
521340301433
62140301200
7366212220
oct127517500
947212350
1022978368
1111a74a96
127841800
1349b6c8a
1430a2080
15203d613
hex15e9f40

22978368 has 168 divisors, whose sum is σ = 77663040. Its totient is φ = 6359040.

The previous prime is 22978349. The next prime is 22978381. The reversal of 22978368 is 86387922.

It is a tau number, because it is divible by the number of its divisors (168).

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 165243 + ... + 165381.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 222978368 is an apocalyptic number.

22978368 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 22978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38831520).

22978368 is an abundant number, since it is smaller than the sum of its proper divisors (54684672).

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

22978368 is a wasteful number, since it uses less digits than its factorization.

22978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 192 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 22978368 is about 4793.5757008730. The cubic root of 22978368 is about 284.2975127285.

The spelling of 22978368 in words is "twenty-two million, nine hundred seventy-eight thousand, three hundred sixty-eight".