22224120 has 128 divisors (see below), whose sum is σ = 70329600. Its totient is φ = 5612544.

The previous prime is 22224113. The next prime is 22224131. The reversal of 22224120 is 2142222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22224120.

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 31 ways as a sum of consecutive naturals, for example, 304404 + ... + 304476.

It is an arithmetic number, because the mean of its divisors is an integer number (549450).

Almost surely, 2^22224120 is an apocalyptic number.

22224120 is a gapful number since it is divisible by the number (20) 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 22224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35164800).

22224120 is an abundant number, since it is smaller than the sum of its proper divisors (48105480).

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

22224120 is a wasteful number, since it uses less digits than its factorization.

22224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22224120 is about 4714.2464933433. The cubic root of 22224120 is about 281.1522247783.

Adding to 22224120 its reverse (2142222), we get a palindrome (24366342).

It can be divided in two parts, 222 and 24120, that added together give a palindrome (24342).

The spelling of 22224120 in words is "twenty-two million, two hundred twenty-four thousand, one hundred twenty".