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22990368 = 253713373
BaseRepresentation
bin101011110110…
…0111000100000
31121021000212010
41113230320200
521341142433
62140432520
7366262212
oct127547040
947230763
1022990368
1111a83005
127848740
1349bc58b
1430a65b2
152041e63
hex15ece20

22990368 has 48 divisors (see below), whose sum is σ = 61217856. Its totient is φ = 7553280.

The previous prime is 22990339. The next prime is 22990403. The reversal of 22990368 is 86309922.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5130 + ... + 8502.

It is an arithmetic number, because the mean of its divisors is an integer number (1275372).

Almost surely, 222990368 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 22990368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30608928).

22990368 is an abundant number, since it is smaller than the sum of its proper divisors (38227488).

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

22990368 is a wasteful number, since it uses less digits than its factorization.

22990368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 22990368 is about 4794.8272127367. The cubic root of 22990368 is about 284.3469937077.

The spelling of 22990368 in words is "twenty-two million, nine hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3373 3408 6746 6816 10119 13492 20238 26984 40476 53968 80952 107936 161904 239483 323808 478966 718449 957932 1436898 1915864 2873796 3831728 5747592 7663456 11495184 22990368