256222008 has 128 divisors (see below), whose sum is σ = 822259200. Its totient is φ = 72410112.

The previous prime is 256221941. The next prime is 256222009. The reversal of 256222008 is 800222652.

256222008 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256222009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145791 + ... + 147537.

It is an arithmetic number, because the mean of its divisors is an integer number (6423900).

Almost surely, 2^256222008 is an apocalyptic number.

256222008 is a gapful number since it is divisible by the number (28) 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 256222008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411129600).

256222008 is an abundant number, since it is smaller than the sum of its proper divisors (566037192).

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

256222008 is a wasteful number, since it uses less digits than its factorization.

256222008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 256222008 is about 16006.9362465151. The cubic root of 256222008 is about 635.1439176143.

The spelling of 256222008 in words is "two hundred fifty-six million, two hundred twenty-two thousand, eight".