22442045200 has 120 divisors (see below), whose sum is σ = 54420407496. Its totient is φ = 8893440000.

The previous prime is 22442045147. The next prime is 22442045201. The reversal of 22442045200 is 254024422.

It can be written as a sum of positive squares in 12 ways, for example, as 11484980224 + 10957064976 = 107168^2 + 104676^2 .

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 (22442045201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29032014 + ... + 29032786.

Almost surely, 2^22442045200 is an apocalyptic number.

22442045200 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 22442045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27210203748).

22442045200 is an abundant number, since it is smaller than the sum of its proper divisors (31978362296).

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

22442045200 is a wasteful number, since it uses less digits than its factorization.

22442045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 22442045200 its reverse (254024422), we get a palindrome (22696069622).

The spelling of 22442045200 in words is "twenty-two billion, four hundred forty-two million, forty-five thousand, two hundred".