22880256 has 168 divisors, whose sum is σ = 74706480. Its totient is φ = 6193152.

The previous prime is 22880243. The next prime is 22880261. The reversal of 22880256 is 65208822.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×22880256² = 1047012229251072, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204215 + ... + 1204233.

Almost surely, 2^22880256 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 22880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37353240).

22880256 is an abundant number, since it is smaller than the sum of its proper divisors (51826224).

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

22880256 is an equidigital number, since it uses as much as digits as its factorization.

22880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 22880256 is about 4783.3310569100. The cubic root of 22880256 is about 283.8923085707.

The spelling of 22880256 in words is "twenty-two million, eight hundred eighty thousand, two hundred fifty-six".