22254624 has 216 divisors, whose sum is σ = 78427440. Its totient is φ = 5951232.

The previous prime is 22254619. The next prime is 22254667. The reversal of 22254624 is 42645222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268087 + ... + 268169.

It is an arithmetic number, because the mean of its divisors is an integer number (363090).

Almost surely, 2^22254624 is an apocalyptic number.

22254624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22254624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39213720).

22254624 is an abundant number, since it is smaller than the sum of its proper divisors (56172816).

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

22254624 is a wasteful number, since it uses less digits than its factorization.

22254624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 22254624 is about 4717.4806835853. The cubic root of 22254624 is about 281.2807989975.

Adding to 22254624 its reverse (42645222), we get a palindrome (64899846).

It can be divided in two parts, 2 and 2254624, that added together give a triangular number (2254626 = T₂₁₂₃).

The spelling of 22254624 in words is "twenty-two million, two hundred fifty-four thousand, six hundred twenty-four".