22221200 has 60 divisors (see below), whose sum is σ = 54188868. Its totient is φ = 8755200.

The previous prime is 22221191. The next prime is 22221209. The reversal of 22221200 is 212222.

It is an interprime number because it is at equal distance from previous prime (22221191) and next prime (22221209).

It can be written as a sum of positive squares in 6 ways, for example, as 4648336 + 17572864 = 2156^2 + 4192^2 .

It is not an unprimeable number, because it can be changed into a prime (22221209) 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, 28820 + ... + 29580.

Almost surely, 2^22221200 is an apocalyptic number.

22221200 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 22221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27094434).

22221200 is an abundant number, since it is smaller than the sum of its proper divisors (31967668).

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

22221200 is a wasteful number, since it uses less digits than its factorization.

22221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 22221200 is about 4713.9367836236. The cubic root of 22221200 is about 281.1399108231.

Adding to 22221200 its reverse (212222), we get a palindrome (22433422).

The spelling of 22221200 in words is "twenty-two million, two hundred twenty-one thousand, two hundred".