225217356000 has 768 divisors, whose sum is σ = 937510060032. Its totient is φ = 45978624000.

The previous prime is 225217355999. The next prime is 225217356037. The reversal of 225217356000 is 653712522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33848674 + ... + 33855326.

It is an arithmetic number, because the mean of its divisors is an integer number (1220716224).

Almost surely, 2^225217356000 is an apocalyptic number.

225217356000 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 225217356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468755030016).

225217356000 is an abundant number, since it is smaller than the sum of its proper divisors (712292704032).

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

225217356000 is a wasteful number, since it uses less digits than its factorization.

225217356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6732 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 225217356000 in words is "two hundred twenty-five billion, two hundred seventeen million, three hundred fifty-six thousand".