22180920 has 128 divisors (see below), whose sum is σ = 71850240. Its totient is φ = 5457920.

The previous prime is 22180889. The next prime is 22180927. The reversal of 22180920 is 2908122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22180927) 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 31 ways as a sum of consecutive naturals, for example, 169255 + ... + 169385.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 2^22180920 is an apocalyptic number.

22180920 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 22180920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

22180920 is an abundant number, since it is smaller than the sum of its proper divisors (49669320).

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

22180920 is a wasteful number, since it uses less digits than its factorization.

22180920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 22180920 is about 4709.6624082836. The cubic root of 22180920 is about 280.9699355296.

The spelling of 22180920 in words is "twenty-two million, one hundred eighty thousand, nine hundred twenty".