22533120 has 176 divisors, whose sum is σ = 80569920. Its totient is φ = 5971968.

The previous prime is 22533113. The next prime is 22533131. The reversal of 22533120 is 2133522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22533093 and 22533102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138159 + ... + 138321.

Almost surely, 2^22533120 is an apocalyptic number.

22533120 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 22533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40284960).

22533120 is an abundant number, since it is smaller than the sum of its proper divisors (58036800).

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

22533120 is a wasteful number, since it uses less digits than its factorization.

22533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22533120 is about 4746.9063609892. The cubic root of 22533120 is about 282.4492612559.

Adding to 22533120 its reverse (2133522), we get a palindrome (24666642).

The spelling of 22533120 in words is "twenty-two million, five hundred thirty-three thousand, one hundred twenty".