225342810 has 160 divisors (see below), whose sum is σ = 755644032. Its totient is φ = 46811520.

The previous prime is 225342797. The next prime is 225342829. The reversal of 225342810 is 18243522.

225342810 is a `hidden beast` number, since 225 + 3 + 428 + 10 = 666.

It is a super-2 number, since 2×225342810² = 101558764037392200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60564 + ... + 64176.

Almost surely, 2^225342810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225342810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377822016).

225342810 is an abundant number, since it is smaller than the sum of its proper divisors (530301222).

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

225342810 is a wasteful number, since it uses less digits than its factorization.

225342810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3641 counting only the distinct ones).

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

The square root of 225342810 is about 15011.4226507683. The cubic root of 225342810 is about 608.5289375780.

The spelling of 225342810 in words is "two hundred twenty-five million, three hundred forty-two thousand, eight hundred ten".