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230 (number)

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230 is a natural number that lies between 229 and 231. It is an even number, meaning it can be divided by two without remainder. It is also a composite number, meaning it has divisors other than 1 and itself.

In Roman numerals it is written CCXXX. In binary notation it is 11100110.

Mathematical properties

The prime factorization of 230 is 2 × 5 × 23. Since it is the product of exactly three distinct primes, it is known as a sphenic number. It is also squarefree, meaning no perfect square greater than 1 divides it.

The divisors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230—eight divisors total. The sum of its proper divisors (all divisors except the number itself) is 202, which is less than 230. For this reason 230 is classified as a deficient number.

Scientific applications

In crystallography, 230 is the total number of three-dimensional space groups that are possible. This number encompasses the different ways that symmetry can be arranged in the structure of a crystal lattice.

In many European countries and elsewhere, the standard voltage for residential electrical networks is defined as approximately 230 volts AC.

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