22167120 has 40 divisors (see below), whose sum is σ = 68718816. Its totient is φ = 5911168.

The previous prime is 22167113. The next prime is 22167121. The reversal of 22167120 is 2176122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22167121) 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 7 ways as a sum of consecutive naturals, for example, 45942 + ... + 46421.

Almost surely, 2^22167120 is an apocalyptic number.

22167120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22167120 is an abundant number, since it is smaller than the sum of its proper divisors (46551696).

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

22167120 is a wasteful number, since it uses less digits than its factorization.

22167120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92379 (or 92373 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 22167120 is about 4708.1971071738. The cubic root of 22167120 is about 280.9116543657.

The spelling of 22167120 in words is "twenty-two million, one hundred sixty-seven thousand, one hundred twenty".