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256222728 = 23323558649
BaseRepresentation
bin11110100010110…
…10011000001000
3122212010110111200
433101122120020
51011043111403
641231424200
76230600016
oct1721323010
9585113450
10256222728
111216a3a23
1271985060
1341110ba8
14260598b6
1517762ca3
hexf45a608

256222728 has 24 divisors (see below), whose sum is σ = 693936750. Its totient is φ = 85407552.

The previous prime is 256222727. The next prime is 256222873. The reversal of 256222728 is 827222652.

256222728 is a `hidden beast` number, since 2 + 5 + 622 + 2 + 7 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247684644 + 8538084 = 15738^2 + 2922^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 256222692 and 256222701.

It is not an unprimeable number, because it can be changed into a prime (256222727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1779253 + ... + 1779396.

Almost surely, 2256222728 is an apocalyptic number.

It is an amenable number.

256222728 is an abundant number, since it is smaller than the sum of its proper divisors (437714022).

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

256222728 is a wasteful number, since it uses less digits than its factorization.

256222728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558661 (or 3558654 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 256222728 is about 16006.9587367495. The cubic root of 256222728 is about 635.1445125453.

The spelling of 256222728 in words is "two hundred fifty-six million, two hundred twenty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3558649 7117298 10675947 14234596 21351894 28469192 32027841 42703788 64055682 85407576 128111364 256222728