22816224 has 72 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 7550208.

The previous prime is 22816201. The next prime is 22816231. The reversal of 22816224 is 42261822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65202 + ... + 65550.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^22816224 is an apocalyptic number.

22816224 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 22816224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

22816224 is an abundant number, since it is smaller than the sum of its proper divisors (42539976).

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

22816224 is a wasteful number, since it uses less digits than its factorization.

22816224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22816224 is about 4776.6331238645. The cubic root of 22816224 is about 283.6272302958.

The spelling of 22816224 in words is "twenty-two million, eight hundred sixteen thousand, two hundred twenty-four".