2015100

2015100 is a positive integer. In decimal notation it is written as 2,015,100 and lies between 2,015,099 and 2,015,101. In number theory, it is studied as a specific example of a composite integer with a rich factorization structure.

Its prime factorization is 2^2 × 3^2 × 5^2 × 2239, where 2239 is a prime number. This shows that 2015100 is not squarefree and that it has multiple small prime factors alongside a larger prime factor.

The number has 54 positive divisors, as given by the formula for the divisor function: (2+1) × (2+1) × (2+1) × (1+1) = 54. The sum of all positive divisors is 6,319,040. It is divisible by 4, 9, 25, 36, 100, and 900, among others. The largest proper divisor is 1,007,550 (which is 2015100/2).

A notable decimal property is that, because the prime factorization includes 2^2 and 5^2, the number is divisible by 100, and thus its decimal representation ends with two trailing zeros.

As a mathematical object, 2015100 exemplifies how a number can be composed of small squared primes and a larger prime, yielding a substantial number of divisors and a relatively large sum of divisors. It does not correspond to a widely known entity outside numerical contexts, but it serves as a concrete case in discussions of factorization, divisors, and arithmetic structure of integers.