22224864 has 48 divisors (see below), whose sum is σ = 59926608. Its totient is φ = 7206912.

The previous prime is 22224859. The next prime is 22224883. The reversal of 22224864 is 46842222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22224864³ (a number of 23 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424 + ... + 6680.

It is an arithmetic number, because the mean of its divisors is an integer number (1248471).

Almost surely, 2^22224864 is an apocalyptic number.

22224864 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 22224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963304).

22224864 is an abundant number, since it is smaller than the sum of its proper divisors (37701744).

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

22224864 is a wasteful number, since it uses less digits than its factorization.

22224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6299 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 22224864 is about 4714.3254024303. The cubic root of 22224864 is about 281.1553621342.

The spelling of 22224864 in words is "twenty-two million, two hundred twenty-four thousand, eight hundred sixty-four".