220222200400 has 30 divisors (see below), whose sum is σ = 529083837422. Its totient is φ = 88088880000.

The previous prime is 220222200379. The next prime is 220222200461. The reversal of 220222200400 is 4002222022.

It can be written as a sum of positive squares in 3 ways, for example, as 16752642624 + 203469557776 = 129432^2 + 451076^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 275277351 + ... + 275278150.

Almost surely, 2^220222200400 is an apocalyptic number.

220222200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220222200400 is an abundant number, since it is smaller than the sum of its proper divisors (308861637022).

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

220222200400 is a wasteful number, since it uses less digits than its factorization.

220222200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550555519 (or 550555508 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 220222200400 its reverse (4002222022), we get a palindrome (224224422422).

The spelling of 220222200400 in words is "two hundred twenty billion, two hundred twenty-two million, two hundred thousand, four hundred".