225117198 has 48 divisors (see below), whose sum is σ = 518210160. Its totient is φ = 72436896.

The previous prime is 225117197. The next prime is 225117229. The reversal of 225117198 is 891711522.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225117197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42936 + ... + 47892.

It is an arithmetic number, because the mean of its divisors is an integer number (10796045).

Almost surely, 2^225117198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225117198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259105080).

225117198 is an abundant number, since it is smaller than the sum of its proper divisors (293092962).

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

225117198 is a wasteful number, since it uses less digits than its factorization.

225117198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 4991 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 225117198 is about 15003.9060914150. The cubic root of 225117198 is about 608.3257844730.

The spelling of 225117198 in words is "two hundred twenty-five million, one hundred seventeen thousand, one hundred ninety-eight".