22220488400 has 180 divisors, whose sum is σ = 59296540716. Its totient is φ = 7995187200.

The previous prime is 22220488363. The next prime is 22220488457. The reversal of 22220488400 is 488402222.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2507205184 + 19713283216 = 50072^2 + 140404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4692434 + ... + 4697166.

Almost surely, 2^22220488400 is an apocalyptic number.

22220488400 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 22220488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29648270358).

22220488400 is an abundant number, since it is smaller than the sum of its proper divisors (37076052316).

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

22220488400 is a wasteful number, since it uses less digits than its factorization.

22220488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 22220488400 in words is "twenty-two billion, two hundred twenty million, four hundred eighty-eight thousand, four hundred".