22444200 has 144 divisors (see below), whose sum is σ = 77641980. Its totient is φ = 5806080.

The previous prime is 22444189. The next prime is 22444207. The reversal of 22444200 is 244422.

22444200 is a `hidden beast` number, since 2 + 244 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10458756 + 11985444 = 3234^2 + 3462^2 .

It is a super-2 number, since 2×22444200² = 1007484227280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22444207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66432 + ... + 66768.

Almost surely, 2^22444200 is an apocalyptic number.

22444200 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 22444200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38820990).

22444200 is an abundant number, since it is smaller than the sum of its proper divisors (55197780).

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

22444200 is a wasteful number, since it uses less digits than its factorization.

22444200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22444200 is about 4737.5310025371. The cubic root of 22444200 is about 282.0772385380.

Adding to 22444200 its reverse (244422), we get a palindrome (22688622).

The spelling of 22444200 in words is "twenty-two million, four hundred forty-four thousand, two hundred".