22434400 has 72 divisors (see below), whose sum is σ = 56715120. Its totient is φ = 8655360.

The previous prime is 22434353. The next prime is 22434403. The reversal of 22434400 is 443422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22434403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22717 + ... + 23683.

It is an arithmetic number, because the mean of its divisors is an integer number (787710).

Almost surely, 2^22434400 is an apocalyptic number.

22434400 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 22434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28357560).

22434400 is an abundant number, since it is smaller than the sum of its proper divisors (34280720).

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

22434400 is a wasteful number, since it uses less digits than its factorization.

22434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 22434400 is about 4736.4965955862. The cubic root of 22434400 is about 282.0361773079.

Adding to 22434400 its reverse (443422), we get a palindrome (22877822).

The spelling of 22434400 in words is "twenty-two million, four hundred thirty-four thousand, four hundred".