225416 has 16 divisors (see below), whose sum is σ = 445200. Its totient is φ = 106704.

The previous prime is 225383. The next prime is 225427. The reversal of 225416 is 614522.

It is a happy number.

225416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an unprimeable number.

225416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 590 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (27825).

2²²⁵⁴¹⁶ is an apocalyptic number.

It is an amenable number.

225416 is a deficient number, since it is larger than the sum of its proper divisors (219784).

225416 is a wasteful number, since it uses less digits than its factorization.

225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1504 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 225416 is about 474.7799490290. The cubic root of 225416 is about 60.8594812636.

Adding to 225416 its reverse (614522), we get a palindrome (839938).

The spelling of 225416 in words is "two hundred twenty-five thousand, four hundred sixteen".