216000000

The number 216,000,000 is an integer that appears in various mathematical, scientific, and real-world contexts. It is equivalent to 216 million, or 2.16 × 10^8 in scientific notation. This number can be expressed as a product of prime factors as 2^6 × 3^3 × 5^3, which highlights its divisibility by smaller integers such as 64, 27, and 125.

In mathematics, 216,000,000 is notable for its role in combinatorics and probability. For example, it represents the number of possible permutations of a set of 10 distinct objects taken 9 at a time (10P9), calculated as 10! / (10-9)!. It also appears in calculations involving large factorials or exponential growth models.

In astronomy, 216,000,000 is roughly the approximate distance between the Sun and the asteroid belt, measured in kilometers. This distance is often used as a reference point in discussions about the solar system’s structure and the distribution of celestial bodies.

From a historical perspective, 216,000,000 is sometimes referenced in population studies. For instance, it represents the estimated population of India in the year 2011, according to census data. Such figures are critical for urban planning, resource allocation, and policy-making in densely populated regions.

In computing, 216,000,000 is significant in memory and storage contexts. For example, it is approximately the number of bytes in 200 megabytes (MB), a common unit of digital storage. This number helps illustrate the scale of data storage capacities in modern technology.

Overall, 216,000,000 serves as a useful benchmark in diverse fields, from pure mathematics to practical applications in science and technology. Its versatility makes it a recurring figure in both theoretical and applied disciplines.