22542624 has 144 divisors (see below), whose sum is σ = 71914752. Its totient is φ = 6905088.

The previous prime is 22542623. The next prime is 22542631. The reversal of 22542624 is 42624522.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22542623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100977 + ... + 101199.

It is an arithmetic number, because the mean of its divisors is an integer number (499408).

Almost surely, 2^22542624 is an apocalyptic number.

22542624 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 22542624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35957376).

22542624 is an abundant number, since it is smaller than the sum of its proper divisors (49372128).

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

22542624 is a wasteful number, since it uses less digits than its factorization.

22542624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

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

The square root of 22542624 is about 4747.9073284975. The cubic root of 22542624 is about 282.4889660765.

It can be divided in two parts, 225 and 42624, that added together give a square (42849 = 207²).

The spelling of 22542624 in words is "twenty-two million, five hundred forty-two thousand, six hundred twenty-four".