187226

187226 is a natural number that lies between 187225 and 187227. It is an even, composite integer, and its prime factorization is 2 × 13 × 19 × 379, making it square-free (no repeated prime factors).

As a result, 187226 has 2^4 = 16 positive divisors. These divisors are 1, 2, 13, 19, 26, 38, 247, 379, 494, 758, 4927, 7201, 9854, 14402, 93613, and 187226.

In arithmetic terms, several standard functions can be computed for this number. The Euler totient function yields phi(187226) = 81,648, reflecting the count of integers less than 187226 that are coprime to it. The sum of divisors function gives sigma(187226) = 319,200, since the number is square-free and equals the product of four distinct primes.

187226 is often cited in number theory as an example of a square-free integer with four distinct prime factors, illustrating properties of multiplicative functions, divisor counting, and the behavior of the totient and sigma functions on composite, square-free numbers.