22095200 has 72 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 8691200.

The previous prime is 22095197. The next prime is 22095209. The reversal of 22095200 is 259022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22095209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56606 + ... + 56994.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^22095200 is an apocalyptic number.

22095200 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 22095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27420120).

22095200 is an abundant number, since it is smaller than the sum of its proper divisors (32745040).

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

22095200 is a wasteful number, since it uses less digits than its factorization.

22095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 22095200 is about 4700.5531589378. The cubic root of 22095200 is about 280.6075244201.

The spelling of 22095200 in words is "twenty-two million, ninety-five thousand, two hundred".