22814400 has 252 divisors, whose sum is σ = 87968328. Its totient is φ = 5160960.

The previous prime is 22814369. The next prime is 22814401. The reversal of 22814400 is 441822.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22814401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235152 + ... + 235248.

Almost surely, 2^22814400 is an apocalyptic number.

22814400 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 22814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43984164).

22814400 is an abundant number, since it is smaller than the sum of its proper divisors (65153928).

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

22814400 is a wasteful number, since it uses less digits than its factorization.

22814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22814400 is about 4776.4421905850. The cubic root of 22814400 is about 283.6196720797.

The spelling of 22814400 in words is "twenty-two million, eight hundred fourteen thousand, four hundred".