225515430 has 96 divisors (see below), whose sum is σ = 672841728. Its totient is φ = 51336000.

The previous prime is 225515429. The next prime is 225515431. The reversal of 225515430 is 34515522.

It is a happy number.

225515430 is a `hidden beast` number, since 225 + 5 + 1 + 5 + 430 = 666.

It is an interprime number because it is at equal distance from previous prime (225515429) and next prime (225515431).

It is a junction number, because it is equal to n+sod(n) for n = 225515394 and 225515403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225515431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195355 + ... + 196505.

It is an arithmetic number, because the mean of its divisors is an integer number (7008768).

Almost surely, 2^225515430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225515430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336420864).

225515430 is an abundant number, since it is smaller than the sum of its proper divisors (447326298).

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

225515430 is a wasteful number, since it uses less digits than its factorization.

225515430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 225515430 is about 15017.1711716954. The cubic root of 225515430 is about 608.6842823083.

The spelling of 225515430 in words is "two hundred twenty-five million, five hundred fifteen thousand, four hundred thirty".