22122180 has 96 divisors (see below), whose sum is σ = 69914880. Its totient is φ = 5806080.

The previous prime is 22122173. The next prime is 22122203. The reversal of 22122180 is 8122122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38052 + ... + 38628.

It is an arithmetic number, because the mean of its divisors is an integer number (728280).

Almost surely, 2^22122180 is an apocalyptic number.

22122180 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 22122180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957440).

22122180 is an abundant number, since it is smaller than the sum of its proper divisors (47792700).

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

22122180 is a wasteful number, since it uses less digits than its factorization.

22122180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 22122180 is about 4703.4221583864. The cubic root of 22122180 is about 280.7216926796.

The spelling of 22122180 in words is "twenty-two million, one hundred twenty-two thousand, one hundred eighty".