22215120 has 80 divisors (see below), whose sum is σ = 69436032. Its totient is φ = 5875200.

The previous prime is 22215101. The next prime is 22215157. The reversal of 22215120 is 2151222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22215120² = 987023113228800, which contains 22 as substring.

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 22215120.

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 15 ways as a sum of consecutive naturals, for example, 35934 + ... + 36546.

Almost surely, 2^22215120 is an apocalyptic number.

22215120 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 22215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34718016).

22215120 is an abundant number, since it is smaller than the sum of its proper divisors (47220912).

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

22215120 is a wasteful number, since it uses less digits than its factorization.

22215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 22215120 is about 4713.2918432874. The cubic root of 22215120 is about 281.1142673448.

Adding to 22215120 its reverse (2151222), we get a palindrome (24366342).

It can be divided in two parts, 2 and 2215120, that added together give a palindrome (2215122).

The spelling of 22215120 in words is "twenty-two million, two hundred fifteen thousand, one hundred twenty".