22533280 has 192 divisors, whose sum is σ = 69672960. Its totient is φ = 6681600.

The previous prime is 22533271. The next prime is 22533281. The reversal of 22533280 is 8233522.

It is not an unprimeable number, because it can be changed into a prime (22533281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381891 + ... + 381949.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^22533280 is an apocalyptic number.

22533280 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 22533280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

22533280 is an abundant number, since it is smaller than the sum of its proper divisors (47139680).

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

22533280 is a wasteful number, since it uses less digits than its factorization.

22533280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 22533280 is about 4746.9232140409. The cubic root of 22533280 is about 282.4499297796.

The spelling of 22533280 in words is "twenty-two million, five hundred thirty-three thousand, two hundred eighty".