22224 has 20 divisors (see below), whose sum is σ = 57536. Its totient is φ = 7392.

The previous prime is 22193. The next prime is 22229. The reversal of 22224 is 42222.

It is a happy number.

22224 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22229) by changing a digit.

22224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 279.

2²²²²⁴ is an apocalyptic number.

22224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22224 is an abundant number, since it is smaller than the sum of its proper divisors (35312).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28768).

22224 is a wasteful number, since it uses less digits than its factorization.

22224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its digits is 64, while the sum is 12.

The square root of 22224 is about 149.0771612287. The cubic root of 22224 is about 28.1151718747.

Adding to 22224 its reverse (42222), we get a palindrome (64446).

It can be divided in two parts, 2222 and 4, that multiplied together give a palindrome (8888).

The spelling of 22224 in words is "twenty-two thousand, two hundred twenty-four", and thus it is an iban number.