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21885056 = 27374621
BaseRepresentation
bin101001101111…
…1000010000000
31112011212122122
41103133002000
521100310211
62101023412
7354006554
oct123370200
945155578
1021885056
1111398626
1273b4b68
1346c344b
142c99864
151dc46db
hex14df080

21885056 has 32 divisors (see below), whose sum is σ = 44787180. Its totient is φ = 10644480.

The previous prime is 21885041. The next prime is 21885067. The reversal of 21885056 is 65058812.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21307456 + 577600 = 4616^2 + 760^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×218850562 = 957911352246272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2426 + ... + 7046.

Almost surely, 221885056 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 21885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22393590).

21885056 is an abundant number, since it is smaller than the sum of its proper divisors (22902124).

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

21885056 is an equidigital number, since it uses as much as digits as its factorization.

21885056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 21885056 is about 4678.1466415665. The cubic root of 21885056 is about 279.7150843304.

The spelling of 21885056 in words is "twenty-one million, eight hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4621 4736 9242 18484 36968 73936 147872 170977 295744 341954 591488 683908 1367816 2735632 5471264 10942528 21885056