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256228112 = 24710122651
BaseRepresentation
bin11110100010110…
…11101100010000
3122212010201220002
433101123230100
51011043244422
641231505132
76230621510
oct1721335420
9585121802
10256228112
111216a7a78
12719881a8
134111348a
142605b840
1517764692
hexf45bb10

256228112 has 40 divisors (see below), whose sum is σ = 573004992. Its totient is φ = 108720000.

The previous prime is 256228103. The next prime is 256228123. The reversal of 256228112 is 211822652.

256228112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 14 + ... + 22637.

Almost surely, 2256228112 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 256228112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286502496).

256228112 is an abundant number, since it is smaller than the sum of its proper divisors (316776880).

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

256228112 is a wasteful number, since it uses less digits than its factorization.

256228112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22767 (or 22761 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 256228112 is about 16007.1269127223. The cubic root of 256228112 is about 635.1489612712.

The spelling of 256228112 in words is "two hundred fifty-six million, two hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 11312 22651 45302 90604 158557 181208 317114 362416 634228 1268456 2287751 2536912 4575502 9151004 16014257 18302008 32028514 36604016 64057028 128114056 256228112