186400

186400 is a natural number that lies between 186399 and 186401. It is even and composite, and in decimal notation it ends with two zeros, indicating divisibility by 100. The number can be factored as 186400 = 1864 × 100, and more fully as 186400 = 2^5 × 5^2 × 233, where 233 is a prime number and also a Fibonacci number (the 13th in the sequence).

As a product of primes, 186400 has 36 positive divisors. It is divisible by powers of two up to 2^5 (32) and powers of five up to 5^2 (25), in combination with the factor 233. This structure allows simple round-number decompositions, such as 186400 = 400 × 466 and 186400 = 800 × 233, illustrating how it can be broken into components useful in arithmetic and practical calculations.

In broader mathematical context, 186400 is an example of an even composite with a relatively straightforward prime factorization that includes a Fibonacci prime factor. Its digit sum is 1 + 8 + 6 + 4 + 0 + 0 = 19, so it is not divisible by 3 or 9, and it is not a Harshad number in base 10. Its abundance of factors and roundness in decimal form make it a convenient reference point in discussions of divisibility and factorization.