2228326400 has 156 divisors (see below), whose sum is σ = 5655328512. Its totient is φ = 870481920.

The previous prime is 2228326393. The next prime is 2228326421. The reversal of 2228326400 is 46238222.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4812569 + ... + 4813031.

Almost surely, 2^2228326400 is an apocalyptic number.

2228326400 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 2228326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827664256).

2228326400 is an abundant number, since it is smaller than the sum of its proper divisors (3427002112).

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

2228326400 is an equidigital number, since it uses as much as digits as its factorization.

2228326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2228326400 is about 47205.1522611674. The cubic root of 2228326400 is about 1306.1496404203.

The spelling of 2228326400 in words is "two billion, two hundred twenty-eight million, three hundred twenty-six thousand, four hundred".