225112500 has 288 divisors, whose sum is σ = 787449600. Its totient is φ = 55440000.

The previous prime is 225112499. The next prime is 225112501. The reversal of 225112500 is 5211522.

It is an interprime number because it is at equal distance from previous prime (225112499) and next prime (225112501).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225112501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7762486 + ... + 7762514.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^225112500 is an apocalyptic number.

225112500 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 225112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800).

225112500 is an abundant number, since it is smaller than the sum of its proper divisors (562337100).

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

225112500 is a wasteful number, since it uses less digits than its factorization.

225112500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 225112500 is about 15003.7495313672. The cubic root of 225112500 is about 608.3215527003.

The spelling of 225112500 in words is "two hundred twenty-five million, one hundred twelve thousand, five hundred".