22333120 has 56 divisors (see below), whose sum is σ = 53785008. Its totient is φ = 8832000.

The previous prime is 22333117. The next prime is 22333123. The reversal of 22333120 is 2133322.

It is an interprime number because it is at equal distance from previous prime (22333117) and next prime (22333123).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22333094 and 22333103.

It is not an unprimeable number, because it can be changed into a prime (22333123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31975 + ... + 32665.

Almost surely, 2^22333120 is an apocalyptic number.

22333120 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 22333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26892504).

22333120 is an abundant number, since it is smaller than the sum of its proper divisors (31451888).

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

22333120 is a wasteful number, since it uses less digits than its factorization.

22333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 22333120 is about 4725.7930551390. The cubic root of 22333120 is about 281.6111199982.

Adding to 22333120 its reverse (2133322), we get a palindrome (24466442).

The spelling of 22333120 in words is "twenty-two million, three hundred thirty-three thousand, one hundred twenty".