225306510 has 128 divisors (see below), whose sum is σ = 657538560. Its totient is φ = 48652800.

The previous prime is 225306493. The next prime is 225306517. The reversal of 225306510 is 15603522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225306517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123505 + ... + 125315.

It is an arithmetic number, because the mean of its divisors is an integer number (5137020).

Almost surely, 2^225306510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225306510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328769280).

225306510 is an abundant number, since it is smaller than the sum of its proper divisors (432232050).

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

225306510 is a wasteful number, since it uses less digits than its factorization.

225306510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 225306510 is about 15010.2135227984. The cubic root of 225306510 is about 608.4962602738.

The spelling of 225306510 in words is "two hundred twenty-five million, three hundred six thousand, five hundred ten".