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22315296 = 253232451
BaseRepresentation
bin101010100100…
…0000100100000
31112222201211110
41111020010200
521203042141
62114143320
7360451113
oct125100440
945881743
1022315296
11116618a3
127581b40
134814223
142d6c57a
151e5be16
hex1548120

22315296 has 24 divisors (see below), whose sum is σ = 58577904. Its totient is φ = 7438400.

The previous prime is 22315289. The next prime is 22315303. The reversal of 22315296 is 69251322.

It is an interprime number because it is at equal distance from previous prime (22315289) and next prime (22315303).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×223152963 (a number of 23 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116130 + ... + 116321.

It is an arithmetic number, because the mean of its divisors is an integer number (2440746).

Almost surely, 222315296 is an apocalyptic number.

It is an amenable number.

22315296 is an abundant number, since it is smaller than the sum of its proper divisors (36262608).

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

22315296 is a wasteful number, since it uses less digits than its factorization.

22315296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232464 (or 232456 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 22315296 is about 4723.9068576762. The cubic root of 22315296 is about 281.5361823790.

The spelling of 22315296 in words is "twenty-two million, three hundred fifteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 232451 464902 697353 929804 1394706 1859608 2789412 3719216 5578824 7438432 11157648 22315296