225684030 has 128 divisors (see below), whose sum is σ = 657248256. Its totient is φ = 48844800.

The previous prime is 225684007. The next prime is 225684037. The reversal of 225684030 is 30486522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225684037) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 132142 + ... + 133838.

It is an arithmetic number, because the mean of its divisors is an integer number (5134752).

Almost surely, 2^225684030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225684030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328624128).

225684030 is an abundant number, since it is smaller than the sum of its proper divisors (431564226).

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

225684030 is a wasteful number, since it uses less digits than its factorization.

225684030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 225684030 is about 15022.7836967720. The cubic root of 225684030 is about 608.8359328420.

The spelling of 225684030 in words is "two hundred twenty-five million, six hundred eighty-four thousand, thirty".