22219920 has 160 divisors (see below), whose sum is σ = 78090240. Its totient is φ = 5878656.

The previous prime is 22219919. The next prime is 22219927. The reversal of 22219920 is 2991222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22219927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174897 + ... + 175023.

It is an arithmetic number, because the mean of its divisors is an integer number (488064).

Almost surely, 2^22219920 is an apocalyptic number.

22219920 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 22219920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39045120).

22219920 is an abundant number, since it is smaller than the sum of its proper divisors (55870320).

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

22219920 is an equidigital number, since it uses as much as digits as its factorization.

22219920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22219920 is about 4713.8010140438. The cubic root of 22219920 is about 281.1345125848.

The spelling of 22219920 in words is "twenty-two million, two hundred nineteen thousand, nine hundred twenty".