22455936 has 96 divisors (see below), whose sum is σ = 65597220. Its totient is φ = 7372800.

The previous prime is 22455913. The next prime is 22455959. The reversal of 22455936 is 63955422.

22455936 is a `hidden beast` number, since 22 + 45 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22455913) and next prime (22455959).

It can be written as a sum of positive squares in 2 ways, for example, as 21902400 + 553536 = 4680^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 22455936.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116256 + ... + 116448.

Almost surely, 2^22455936 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 22455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32798610).

22455936 is an abundant number, since it is smaller than the sum of its proper divisors (43141284).

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

22455936 is a wasteful number, since it uses less digits than its factorization.

22455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 299 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 22455936 is about 4738.7694605245. The cubic root of 22455936 is about 282.1263957312.

The spelling of 22455936 in words is "twenty-two million, four hundred fifty-five thousand, nine hundred thirty-six".