22210322800 has 120 divisors (see below), whose sum is σ = 55772211600. Its totient is φ = 8488919040.

The previous prime is 22210322779. The next prime is 22210322803. The reversal of 22210322800 is 822301222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210322803) 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, 1115331 + ... + 1135069.

It is an arithmetic number, because the mean of its divisors is an integer number (464768430).

Almost surely, 2^22210322800 is an apocalyptic number.

22210322800 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 22210322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27886105800).

22210322800 is an abundant number, since it is smaller than the sum of its proper divisors (33561888800).

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

22210322800 is a wasteful number, since it uses less digits than its factorization.

22210322800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19883 (or 19872 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 22210322800 in words is "twenty-two billion, two hundred ten million, three hundred twenty-two thousand, eight hundred".