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215689056 = 25311204251
BaseRepresentation
bin11001101101100…
…10011101100000
3120000212010202120
430312302131200
5420204022211
633222544240
75226220032
oct1466623540
9500763676
10215689056
11100829420
1260298080
13358bb47b
1420907c52
1513e07d06
hexcdb2760

215689056 has 48 divisors (see below), whose sum is σ = 617658048. Its totient is φ = 65360000.

The previous prime is 215689031. The next prime is 215689109. The reversal of 215689056 is 650986512.

215689056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2156890562 = 93043537756342272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215688999 and 215689017.

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, 101070 + ... + 103181.

It is an arithmetic number, because the mean of its divisors is an integer number (12867876).

Almost surely, 2215689056 is an apocalyptic number.

It is an amenable number.

215689056 is an abundant number, since it is smaller than the sum of its proper divisors (401968992).

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

215689056 is a wasteful number, since it uses less digits than its factorization.

215689056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204275 (or 204267 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 215689056 is about 14686.3561171585. The cubic root of 215689056 is about 599.7119506236.

The spelling of 215689056 in words is "two hundred fifteen million, six hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 204251 408502 612753 817004 1225506 1634008 2246761 2451012 3268016 4493522 4902024 6536032 6740283 8987044 9804048 13480566 17974088 19608096 26961132 35948176 53922264 71896352 107844528 215689056