22775200 has 144 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 7714560.

The previous prime is 22775191. The next prime is 22775201. The reversal of 22775200 is 257722.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22775201) 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 23 ways as a sum of consecutive naturals, for example, 274359 + ... + 274441.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^22775200 is an apocalyptic number.

22775200 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 22775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

22775200 is an abundant number, since it is smaller than the sum of its proper divisors (42845600).

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

22775200 is an equidigital number, since it uses as much as digits as its factorization.

22775200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 22775200 is about 4772.3369537366. The cubic root of 22775200 is about 283.4571392808.

The spelling of 22775200 in words is "twenty-two million, seven hundred seventy-five thousand, two hundred".