22133920 has 24 divisors (see below), whose sum is σ = 52291764. Its totient is φ = 8853504.

The previous prime is 22133899. The next prime is 22133921. The reversal of 22133920 is 2933122.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 1449616 = 4548^2 + 1204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22133891 and 22133900.

It is not an unprimeable number, because it can be changed into a prime (22133921) 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 3 ways as a sum of consecutive naturals, for example, 69009 + ... + 69328.

Almost surely, 2^22133920 is an apocalyptic number.

22133920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133920 is an abundant number, since it is smaller than the sum of its proper divisors (30157844).

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

22133920 is a wasteful number, since it uses less digits than its factorization.

22133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138352 (or 138344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 22133920 is about 4704.6700203096. The cubic root of 22133920 is about 280.7713425461.

The spelling of 22133920 in words is "twenty-two million, one hundred thirty-three thousand, nine hundred twenty".