225931797630 has 192 divisors, whose sum is σ = 739923545088. Its totient is φ = 46462740480.

The previous prime is 225931797601. The next prime is 225931797659. The reversal of 225931797630 is 36797139522.

225931797630 is a `hidden beast` number, since 2 + 2 + 593 + 17 + 9 + 7 + 6 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (225931797601) and next prime (225931797659).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 504159 + ... + 840261.

It is an arithmetic number, because the mean of its divisors is an integer number (3853768464).

Almost surely, 2^225931797630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225931797630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369961772544).

225931797630 is an abundant number, since it is smaller than the sum of its proper divisors (513991747458).

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

225931797630 is a wasteful number, since it uses less digits than its factorization.

225931797630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336231 (or 336228 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 225931797630 in words is "two hundred twenty-five billion, nine hundred thirty-one million, seven hundred ninety-seven thousand, six hundred thirty".