22994400 has 288 divisors, whose sum is σ = 89244288. Its totient is φ = 5068800.

The previous prime is 22994383. The next prime is 22994417. The reversal of 22994400 is 449922.

22994400 = T₂₂₅₆ + T₂₂₅₇ + ... + T₂₂₆₄.

It is an interprime number because it is at equal distance from previous prime (22994383) and next prime (22994417).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 343167 + ... + 343233.

It is an arithmetic number, because the mean of its divisors is an integer number (309876).

Almost surely, 2^22994400 is an apocalyptic number.

22994400 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 22994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44622144).

22994400 is an abundant number, since it is smaller than the sum of its proper divisors (66249888).

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

22994400 is a wasteful number, since it uses less digits than its factorization.

22994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 22994400 is about 4795.2476474109. The cubic root of 22994400 is about 284.3636154521.

The spelling of 22994400 in words is "twenty-two million, nine hundred ninety-four thousand, four hundred".