22900416 has 112 divisors (see below), whose sum is σ = 75590400. Its totient is φ = 5944320.

The previous prime is 22900403. The next prime is 22900417. The reversal of 22900416 is 61400922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22900417) 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 15 ways as a sum of consecutive naturals, for example, 14010 + ... + 15558.

Almost surely, 2^22900416 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 22900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795200).

22900416 is an abundant number, since it is smaller than the sum of its proper divisors (52689984).

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

22900416 is a wasteful number, since it uses less digits than its factorization.

22900416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 22900416 is about 4785.4379109962. The cubic root of 22900416 is about 283.9756641185.

The spelling of 22900416 in words is "twenty-two million, nine hundred thousand, four hundred sixteen".