22946400 has 108 divisors (see below), whose sum is σ = 80940132. Its totient is φ = 6117120.

The previous prime is 22946393. The next prime is 22946411. The reversal of 22946400 is 464922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5607 + ... + 8793.

Almost surely, 2^22946400 is an apocalyptic number.

22946400 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 22946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40470066).

22946400 is an abundant number, since it is smaller than the sum of its proper divisors (57993732).

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

22946400 is a wasteful number, since it uses less digits than its factorization.

22946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22946400 is about 4790.2400774909. The cubic root of 22946400 is about 284.1656112692.

The spelling of 22946400 in words is "twenty-two million, nine hundred forty-six thousand, four hundred".