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256221696 = 293315381
BaseRepresentation
bin11110100010110…
…10001000000000
3122212010102002110
433101122020000
51011043043241
641231415320
76230564013
oct1721321000
9585112073
10256221696
111216a3175
1271984540
1341110593
142605937a
1517762816
hexf45a200

256221696 has 80 divisors (see below), whose sum is σ = 704740608. Its totient is φ = 82636800.

The previous prime is 256221673. The next prime is 256221697. The reversal of 256221696 is 696122652.

256221696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2562216962 = 131299115002232832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256221697) 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, 44926 + ... + 50306.

Almost surely, 2256221696 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 256221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352370304).

256221696 is an abundant number, since it is smaller than the sum of its proper divisors (448518912).

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

256221696 is an equidigital number, since it uses as much as digits as its factorization.

256221696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5417 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 256221696 is about 16006.9265007371. The cubic root of 256221696 is about 635.1436598106.

The spelling of 256221696 in words is "two hundred fifty-six million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1488 1536 1984 2976 3968 5381 5952 7936 10762 11904 15872 16143 21524 23808 32286 43048 47616 64572 86096 129144 166811 172192 258288 333622 344384 500433 516576 667244 688768 1000866 1033152 1334488 1377536 2001732 2066304 2668976 2755072 4003464 4132608 5337952 8006928 8265216 10675904 16013856 21351808 32027712 42703616 64055424 85407232 128110848 256221696