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256022856 = 23351761127
BaseRepresentation
bin11110100001010…
…01100101001000
3122211202022100000
433100221211020
51011020212411
641223243000
76226105215
oct1720514510
9584668300
10256022856
11121577841
12718a9460
1341070c1b
1426006b0c
1517723956
hexf429948

256022856 has 192 divisors, whose sum is σ = 779950080. Its totient is φ = 78382080.

The previous prime is 256022813. The next prime is 256022887. The reversal of 256022856 is 658220652.

256022856 is a `hidden beast` number, since 25 + 602 + 28 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 256022856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2015865 + ... + 2015991.

It is an arithmetic number, because the mean of its divisors is an integer number (4062240).

Almost surely, 2256022856 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 256022856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

256022856 is an abundant number, since it is smaller than the sum of its proper divisors (523927224).

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

256022856 is a wasteful number, since it uses less digits than its factorization.

256022856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 256022856 is about 16000.7142340584. The cubic root of 256022856 is about 634.9793169116.

The spelling of 256022856 in words is "two hundred fifty-six million, twenty-two thousand, eight hundred fifty-six".