225412216200 has 384 divisors, whose sum is σ = 798131059200. Its totient is φ = 58445936640.

The previous prime is 225412216187. The next prime is 225412216231. The reversal of 225412216200 is 2612214522.

225412216200 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 12 + 21 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 39843772 + ... + 39849428.

It is an arithmetic number, because the mean of its divisors is an integer number (2078466300).

Almost surely, 2^225412216200 is an apocalyptic number.

225412216200 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 225412216200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399065529600).

225412216200 is an abundant number, since it is smaller than the sum of its proper divisors (572718843000).

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

225412216200 is a wasteful number, since it uses less digits than its factorization.

225412216200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 225412216200 in words is "two hundred twenty-five billion, four hundred twelve million, two hundred sixteen thousand, two hundred".