22163120 has 80 divisors (see below), whose sum is σ = 62019840. Its totient is φ = 7195392.

The previous prime is 22163117. The next prime is 22163123. The reversal of 22163120 is 2136122.

It is an interprime number because it is at equal distance from previous prime (22163117) and next prime (22163123).

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

It is not an unprimeable number, because it can be changed into a prime (22163123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9599 + ... + 11681.

It is an arithmetic number, because the mean of its divisors is an integer number (775248).

Almost surely, 2^22163120 is an apocalyptic number.

22163120 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 22163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31009920).

22163120 is an abundant number, since it is smaller than the sum of its proper divisors (39856720).

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

22163120 is a wasteful number, since it uses less digits than its factorization.

22163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 22163120 is about 4707.7722969574. The cubic root of 22163120 is about 280.8947567532.

Adding to 22163120 its reverse (2136122), we get a palindrome (24299242).

The spelling of 22163120 in words is "twenty-two million, one hundred sixty-three thousand, one hundred twenty".