2225857200 has 480 divisors, whose sum is σ = 8741440512. Its totient is φ = 473088000.

The previous prime is 2225857199. The next prime is 2225857217. The reversal of 2225857200 is 27585222.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7921060 + ... + 7921340.

Almost surely, 2^2225857200 is an apocalyptic number.

2225857200 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 2225857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370720256).

2225857200 is an abundant number, since it is smaller than the sum of its proper divisors (6515583312).

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

2225857200 is a wasteful number, since it uses less digits than its factorization.

2225857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 2225857200 is about 47178.9910871354. The cubic root of 2225857200 is about 1305.6670156303.

The spelling of 2225857200 in words is "two billion, two hundred twenty-five million, eight hundred fifty-seven thousand, two hundred".