225192 has 32 divisors (see below), whose sum is σ = 614880. Its totient is φ = 68160.

The previous prime is 225167. The next prime is 225217. The reversal of 225192 is 291522.

225192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225167) and next prime (225217).

It is a super-2 number, since 2×225192² = 101422873728, which contains 22 as substring.

It is a plaindrome in base 15.

It is an unprimeable number.

225192 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 690.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2²²⁵¹⁹² is an apocalyptic number.

225192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225192 is an abundant number, since it is smaller than the sum of its proper divisors (389688).

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

225192 is a wasteful number, since it uses less digits than its factorization.

225192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 869 counting only the distinct ones).

The product of its digits is 360, while the sum is 21.

The square root of 225192 is about 474.5439916383. The cubic root of 225192 is about 60.8393155227.

The spelling of 225192 in words is "two hundred twenty-five thousand, one hundred ninety-two".