225259457100 has 864 divisors, whose sum is σ = 781937452800. Its totient is φ = 49711104000.

The previous prime is 225259457029. The next prime is 225259457167. The reversal of 225259457100 is 1754952522.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3817956871 + ... + 3817956929.

It is an arithmetic number, because the mean of its divisors is an integer number (905020200).

Almost surely, 2^225259457100 is an apocalyptic number.

225259457100 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 225259457100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390968726400).

225259457100 is an abundant number, since it is smaller than the sum of its proper divisors (556677995700).

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

225259457100 is a wasteful number, since it uses less digits than its factorization.

225259457100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 225259457100 in words is "two hundred twenty-five billion, two hundred fifty-nine million, four hundred fifty-seven thousand, one hundred".