225817699200 has 384 divisors, whose sum is σ = 764168887680. Its totient is φ = 58579476480.

The previous prime is 225817699181. The next prime is 225817699223. The reversal of 225817699200 is 2996718522.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116821434 + ... + 116823366.

It is an arithmetic number, because the mean of its divisors is an integer number (1990023145).

Almost surely, 2^225817699200 is an apocalyptic number.

225817699200 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 225817699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382084443840).

225817699200 is an abundant number, since it is smaller than the sum of its proper divisors (538351188480).

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

225817699200 is a wasteful number, since it uses less digits than its factorization.

225817699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 225817699200 in words is "two hundred twenty-five billion, eight hundred seventeen million, six hundred ninety-nine thousand, two hundred".