225890430 has 32 divisors (see below), whose sum is σ = 570672000. Its totient is φ = 57066912.

The previous prime is 225890419. The next prime is 225890447. The reversal of 225890430 is 34098522.

It is a happy number.

It is a super-3 number, since 3×225890430³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225890391 and 225890400.

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 15 ways as a sum of consecutive naturals, for example, 197580 + ... + 198719.

It is an arithmetic number, because the mean of its divisors is an integer number (17833500).

Almost surely, 2^225890430 is an apocalyptic number.

225890430 is an abundant number, since it is smaller than the sum of its proper divisors (344781570).

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

225890430 is a wasteful number, since it uses less digits than its factorization.

225890430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396328.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 225890430 is about 15029.6516925709. The cubic root of 225890430 is about 609.0214805261.

The spelling of 225890430 in words is "two hundred twenty-five million, eight hundred ninety thousand, four hundred thirty".