231

This number is a composite.

+ The average number of distinct prime divisors for all n less than a googolplex is only about 231. [Wells]

+ The smallest counterexample to Murthy's Conjecture occurs at n = 231.

+ 231 is the smallest number such that it and its previous number are both the product of three distinct primes (230 = 2*5*23 and 231 = 3*7*11).  [Pankajjyoti]

+ 231 = 3∙7∙11 = 6 ∙ (7/2)^2 ∙ 22/7, hence 231 in^3 is the volume of a cylinder with height 6 inches and diameter 7 inches. So a gallone wine was defined in 1706 as a block with sides 3 in., 7 in., 11 in. Later this became the 1 US liquid gallon, and since the inch was defined as 2.54 cm (exactly!), we have 1 US liq gal = 231 ∙ 2.543 cm^3, or approximately 3.785 Liter. [Fegert]

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