256228224 has 256 divisors, whose sum is σ = 851904000. Its totient is φ = 66576384.

The previous prime is 256228187. The next prime is 256228261. The reversal of 256228224 is 422822652.

256228224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256228187) and next prime (256228261).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1481002 + ... + 1481174.

It is an arithmetic number, because the mean of its divisors is an integer number (3327750).

Almost surely, 2^256228224 is an apocalyptic number.

256228224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425952000).

256228224 is an abundant number, since it is smaller than the sum of its proper divisors (595675776).

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

256228224 is a wasteful number, since it uses less digits than its factorization.

256228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 256228224 is about 16007.1304111636. The cubic root of 256228224 is about 635.1490538146.

The spelling of 256228224 in words is "two hundred fifty-six million, two hundred twenty-eight thousand, two hundred twenty-four".