22784256 has 216 divisors, whose sum is σ = 76527360. Its totient is φ = 6451200.

The previous prime is 22784243. The next prime is 22784257. The reversal of 22784256 is 65248722.

22784256 is a `hidden beast` number, since 227 + 8 + 425 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22784256.

It is not an unprimeable number, because it can be changed into a prime (22784257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 734961 + ... + 734991.

Almost surely, 2^22784256 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 22784256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263680).

22784256 is an abundant number, since it is smaller than the sum of its proper divisors (53743104).

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

22784256 is a wasteful number, since it uses less digits than its factorization.

22784256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22784256 is about 4773.2856608420. The cubic root of 22784256 is about 283.4947042300.

The spelling of 22784256 in words is "twenty-two million, seven hundred eighty-four thousand, two hundred fifty-six".