225312840 has 160 divisors (see below), whose sum is σ = 763301880. Its totient is φ = 59609088.

The previous prime is 225312827. The next prime is 225312881. The reversal of 225312840 is 48213522.

It can be written as a sum of positive squares in 4 ways, for example, as 217326564 + 7986276 = 14742^2 + 2826^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 638104 + ... + 638456.

Almost surely, 2^225312840 is an apocalyptic number.

225312840 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 225312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381650940).

225312840 is an abundant number, since it is smaller than the sum of its proper divisors (537989040).

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

225312840 is a wasteful number, since it uses less digits than its factorization.

225312840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225312840 is about 15010.4243777450. The cubic root of 225312840 is about 608.5019588001.

The spelling of 225312840 in words is "two hundred twenty-five million, three hundred twelve thousand, eight hundred forty".