22820256 has 144 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 6948864.

The previous prime is 22820183. The next prime is 22820261. The reversal of 22820256 is 65202822.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288825 + ... + 288903.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^22820256 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 22820256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

22820256 is an abundant number, since it is smaller than the sum of its proper divisors (47941344).

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

22820256 is a wasteful number, since it uses less digits than its factorization.

22820256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

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

The square root of 22820256 is about 4777.0551598239. The cubic root of 22820256 is about 283.6439365021.

The spelling of 22820256 in words is "twenty-two million, eight hundred twenty thousand, two hundred fifty-six".