225276030 has 144 divisors (see below), whose sum is σ = 711288864. Its totient is φ = 49230720.

The previous prime is 225276019. The next prime is 225276041. The reversal of 225276030 is 30672522.

225276030 is a `hidden beast` number, since 2 + 2 + 52 + 7 + 603 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225276019) and next prime (225276041).

It is a junction number, because it is equal to n+sod(n) for n = 225275985 and 225276003.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 100320 + ... + 102540.

It is an arithmetic number, because the mean of its divisors is an integer number (4939506).

Almost surely, 2^225276030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225276030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355644432).

225276030 is an abundant number, since it is smaller than the sum of its proper divisors (486012834).

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

225276030 is a wasteful number, since it uses less digits than its factorization.

225276030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225276030 is about 15009.1981797830. The cubic root of 225276030 is about 608.4688194297.

The spelling of 225276030 in words is "two hundred twenty-five million, two hundred seventy-six thousand, thirty".