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22896328 = 2372134493
BaseRepresentation
bin101011101010…
…1111011001000
31121002020212011
41113111323020
521330140303
62134425304
7365421100
oct127257310
947066764
1022896328
1111a19394
127802234
134988830
143080200
15202416d
hex15d5ec8

22896328 has 48 divisors (see below), whose sum is σ = 53793180. Its totient is φ = 9055872.

The previous prime is 22896317. The next prime is 22896329. The reversal of 22896328 is 82369822.

It can be written as a sum of positive squares in 2 ways, for example, as 22259524 + 636804 = 4718^2 + 798^2 .

It is not an unprimeable number, because it can be changed into a prime (22896329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2850 + ... + 7342.

Almost surely, 222896328 is an apocalyptic number.

22896328 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 22896328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26896590).

22896328 is an abundant number, since it is smaller than the sum of its proper divisors (30896852).

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

22896328 is a wasteful number, since it uses less digits than its factorization.

22896328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526 (or 4515 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 22896328 is about 4785.0107627883. The cubic root of 22896328 is about 283.9587654211.

The spelling of 22896328 in words is "twenty-two million, eight hundred ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 4493 5096 8986 17972 31451 35944 58409 62902 116818 125804 220157 233636 251608 408863 440314 467272 817726 880628 1635452 1761256 2862041 3270904 5724082 11448164 22896328