22644027200 has 168 divisors, whose sum is σ = 59131440792. Its totient is φ = 8505262080.

The previous prime is 22644027193. The next prime is 22644027209. The reversal of 22644027200 is 272044622.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2534518336 + 20109508864 = 50344^2 + 141808^2 .

It is a super-4 number, since 4×22644027200⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22644027209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18304982 + ... + 18306218.

Almost surely, 2^22644027200 is an apocalyptic number.

22644027200 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 22644027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29565720396).

22644027200 is an abundant number, since it is smaller than the sum of its proper divisors (36487413592).

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

22644027200 is a wasteful number, since it uses less digits than its factorization.

22644027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The spelling of 22644027200 in words is "twenty-two billion, six hundred forty-four million, twenty-seven thousand, two hundred".