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22485568 = 26753947
BaseRepresentation
bin101010111000…
…1101001000000
31120022101101211
41111301221000
521224014233
62121535504
7362060410
oct125615100
946271354
1022485568
1111768816
127644594
134873891
142db4640
151e925cd
hex1571a40

22485568 has 56 divisors (see below), whose sum is σ = 52011072. Its totient is φ = 9444864.

The previous prime is 22485563. The next prime is 22485581. The reversal of 22485568 is 86558422.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 22485568.

It is not an unprimeable number, because it can be changed into a prime (22485563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23271 + ... + 24217.

Almost surely, 222485568 is an apocalyptic number.

22485568 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 22485568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26005536).

22485568 is an abundant number, since it is smaller than the sum of its proper divisors (29525504).

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

22485568 is an equidigital number, since it uses as much as digits as its factorization.

22485568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its digits is 153600, while the sum is 40.

The square root of 22485568 is about 4741.8949798577. The cubic root of 22485568 is about 282.2504356122.

The spelling of 22485568 in words is "twenty-two million, four hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 947 1484 1696 1894 2968 3392 3788 5936 6629 7576 11872 13258 15152 23744 26516 30304 50191 53032 60608 100382 106064 200764 212128 351337 401528 424256 702674 803056 1405348 1606112 2810696 3212224 5621392 11242784 22485568