22953456 has 100 divisors (see below), whose sum is σ = 67518000. Its totient is φ = 7527168.

The previous prime is 22953439. The next prime is 22953479. The reversal of 22953456 is 65435922.

It is a super-2 number, since 2×22953456² = 1053722284687872, which contains 22 as substring.

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 22953456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 115245 + ... + 115443.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^22953456 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 22953456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33759000).

22953456 is an abundant number, since it is smaller than the sum of its proper divisors (44564544).

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

22953456 is a wasteful number, since it uses less digits than its factorization.

22953456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 293 counting only the distinct ones).

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

The square root of 22953456 is about 4790.9765184146. The cubic root of 22953456 is about 284.1947351850.

It can be divided in two parts, 22953 and 456, that added together give a square (23409 = 153²).

The spelling of 22953456 in words is "twenty-two million, nine hundred fifty-three thousand, four hundred fifty-six".