22330400 has 72 divisors (see below), whose sum is σ = 55246464. Its totient is φ = 8812800.

The previous prime is 22330397. The next prime is 22330417. The reversal of 22330400 is 403322.

22330400 = 241² + 242² + ... + 432².

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82265 + ... + 82535.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 2^22330400 is an apocalyptic number.

22330400 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 22330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27623232).

22330400 is an abundant number, since it is smaller than the sum of its proper divisors (32916064).

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

22330400 is a wasteful number, since it uses less digits than its factorization.

22330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 22330400 is about 4725.5052639903. The cubic root of 22330400 is about 281.5996868540.

Adding to 22330400 its reverse (403322), we get a palindrome (22733722).

The spelling of 22330400 in words is "twenty-two million, three hundred thirty thousand, four hundred".