22267920 has 160 divisors (see below), whose sum is σ = 73995264. Its totient is φ = 5529600.

The previous prime is 22267873. The next prime is 22267963. The reversal of 22267920 is 2976222.

It is a super-2 number, since 2×22267920² = 991720522252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305004 + ... + 305076.

Almost surely, 2^22267920 is an apocalyptic number.

22267920 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 22267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36997632).

22267920 is an abundant number, since it is smaller than the sum of its proper divisors (51727344).

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

22267920 is a wasteful number, since it uses less digits than its factorization.

22267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 22267920 is about 4718.8896999188. The cubic root of 22267920 is about 281.3368048108.

The spelling of 22267920 in words is "twenty-two million, two hundred sixty-seven thousand, nine hundred twenty".