22220032000 has 384 divisors, whose sum is σ = 59563576800. Its totient is φ = 8257536000.

The previous prime is 22220031997. The next prime is 22220032013. The reversal of 22220032000 is 23002222.

It can be written as a sum of positive squares in 16 ways, for example, as 4182467584 + 18037564416 = 64672^2 + 134304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304383964 + ... + 304384036.

Almost surely, 2^22220032000 is an apocalyptic number.

22220032000 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 22220032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29781788400).

22220032000 is an abundant number, since it is smaller than the sum of its proper divisors (37343544800).

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

22220032000 is an equidigital number, since it uses as much as digits as its factorization.

22220032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 22220032000 its reverse (23002222), we get a palindrome (22243034222).

The spelling of 22220032000 in words is "twenty-two billion, two hundred twenty million, thirty-two thousand".