225314892 has 96 divisors (see below), whose sum is σ = 644716800. Its totient is φ = 67478400.

The previous prime is 225314839. The next prime is 225314909. The reversal of 225314892 is 298413522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104667 + ... + 106797.

It is an arithmetic number, because the mean of its divisors is an integer number (6715800).

Almost surely, 2^225314892 is an apocalyptic number.

225314892 is a gapful number since it is divisible by the number (22) 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 225314892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322358400).

225314892 is an abundant number, since it is smaller than the sum of its proper divisors (419401908).

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

225314892 is a wasteful number, since it uses less digits than its factorization.

225314892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2236 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 225314892 is about 15010.4927300872. The cubic root of 225314892 is about 608.5038060720.

The spelling of 225314892 in words is "two hundred twenty-five million, three hundred fourteen thousand, eight hundred ninety-two".