22774400 has 96 divisors (see below), whose sum is σ = 61469280. Its totient is φ = 8268800.

The previous prime is 22774399. The next prime is 22774421. The reversal of 22774400 is 447722.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22774400.

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, 34877 + ... + 35523.

It is an arithmetic number, because the mean of its divisors is an integer number (640305).

Almost surely, 2^22774400 is an apocalyptic number.

22774400 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 22774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30734640).

22774400 is an abundant number, since it is smaller than the sum of its proper divisors (38694880).

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

22774400 is a wasteful number, since it uses less digits than its factorization.

22774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 22774400 is about 4772.2531366222. The cubic root of 22774400 is about 283.4538203437.

The spelling of 22774400 in words is "twenty-two million, seven hundred seventy-four thousand, four hundred".