22504416 has 96 divisors (see below), whose sum is σ = 65390976. Its totient is φ = 6720000.

The previous prime is 22504403. The next prime is 22504421. The reversal of 22504416 is 61440522.

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 (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 106551 + ... + 106761.

It is an arithmetic number, because the mean of its divisors is an integer number (681156).

Almost surely, 2^22504416 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 22504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32695488).

22504416 is an abundant number, since it is smaller than the sum of its proper divisors (42886560).

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

22504416 is a wasteful number, since it uses less digits than its factorization.

22504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22504416 is about 4743.8819546865. The cubic root of 22504416 is about 282.3292768566.

Adding to 22504416 its reverse (61440522), we get a palindrome (83944938).

It can be divided in two parts, 2250 and 4416, that added together give a palindrome (6666).

The spelling of 22504416 in words is "twenty-two million, five hundred four thousand, four hundred sixteen".