2022208400 has 30 divisors (see below), whose sum is σ = 4858356642. Its totient is φ = 808883200.

The previous prime is 2022208393. The next prime is 2022208423. The reversal of 2022208400 is 48022202.

It can be written as a sum of positive squares in 3 ways, for example, as 35188624 + 1987019776 = 5932^2 + 44576^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2527361 + ... + 2528160.

Almost surely, 2^2022208400 is an apocalyptic number.

2022208400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022208400 is an abundant number, since it is smaller than the sum of its proper divisors (2836148242).

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

2022208400 is a wasteful number, since it uses less digits than its factorization.

2022208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055539 (or 5055528 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2022208400 is about 44968.9715248192. The cubic root of 2022208400 is about 1264.5673659980.

The spelling of 2022208400 in words is "two billion, twenty-two million, two hundred eight thousand, four hundred".