2223424800 has 108 divisors (see below), whose sum is σ = 7840377090. Its totient is φ = 592911360.

The previous prime is 2223424799. The next prime is 2223424813. The reversal of 2223424800 is 84243222.

It can be written as a sum of positive squares in 3 ways, for example, as 2142208656 + 81216144 = 46284^2 + 9012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 147205 + ... + 161604.

Almost surely, 2^2223424800 is an apocalyptic number.

2223424800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223424800 is an abundant number, since it is smaller than the sum of its proper divisors (5616952290).

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

2223424800 is a wasteful number, since it uses less digits than its factorization.

2223424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308835 (or 308819 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2223424800 is about 47153.2056174339. The cubic root of 2223424800 is about 1305.1912345814.

The spelling of 2223424800 in words is "two billion, two hundred twenty-three million, four hundred twenty-four thousand, eight hundred".