22354920 has 128 divisors (see below), whose sum is σ = 85190400. Its totient is φ = 5107968.

The previous prime is 22354901. The next prime is 22354951. The reversal of 22354920 is 2945322.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082 + ... + 9038.

It is an arithmetic number, because the mean of its divisors is an integer number (665550).

Almost surely, 2^22354920 is an apocalyptic number.

22354920 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 22354920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42595200).

22354920 is an abundant number, since it is smaller than the sum of its proper divisors (62835480).

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

22354920 is a wasteful number, since it uses less digits than its factorization.

22354920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 22354920 is about 4728.0989837354. The cubic root of 22354920 is about 281.7027197683.

The spelling of 22354920 in words is "twenty-two million, three hundred fifty-four thousand, nine hundred twenty".