22210920 has 96 divisors (see below), whose sum is σ = 73008000. Its totient is φ = 5855616.

The previous prime is 22210879. The next prime is 22210921. The reversal of 22210920 is 2901222.

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

It is a junction number, because it is equal to n+sod(n) for n = 22210893 and 22210902.

It is not an unprimeable number, because it can be changed into a prime (22210921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36781 + ... + 37379.

It is an arithmetic number, because the mean of its divisors is an integer number (760500).

Almost surely, 2^22210920 is an apocalyptic number.

22210920 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 22210920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36504000).

22210920 is an abundant number, since it is smaller than the sum of its proper divisors (50797080).

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

22210920 is a wasteful number, since it uses less digits than its factorization.

22210920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 22210920 is about 4712.8462737501. The cubic root of 22210920 is about 281.0965503674.

The spelling of 22210920 in words is "twenty-two million, two hundred ten thousand, nine hundred twenty".