# 216 (number): Map

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216 is the natural number following 215 and preceding 217.

 Cardinal Two hundred [and] sixteen Ordinal 216th Factorization 2^3 \cdot 3^3 Roman numeral CCXVI Binary 11011000 Octal 330 Hexadecimal D8

Since 216 = 3^3 + 4^3 + 5^3 = 6^3, it is the smallest cube that's also the sum of three cubes (Plato was among the first to notice this, and mentioned it in Book VIII of Republic). It is also the sum of a twin prime (107 + 109). But since there is no way to express it as the sum of the proper divisors of any other integer, it is an untouchable number.

This multiplicative magic square

\begin{pmatrix}2 & 9 & 12\\36 & 6 & 1\\3 & 4 & 18\end{pmatrix}

has magic constant 216.

In base 10, it is a Harshad number.

## In other fields

• The 216 colors formed by a 6×6×6 color cube are sometimes known as the web-safe color palette.
• ISO 216 is the ISO's standard for paper sizes.
• In the film Pi, Max becomes obsessed with a 216-digit number in his quest to find the numeric equation behind existence, and is told by a group of Hasidic Jews that it represents the true name of God.
• As six cubed (6*6*6), 216 is also symbolic of the Mark of the Beast in Christianity. This has been expressed in the Left Behind series. This is interesting as the quotient of 144,000/666 is 216.216216216... These two numbers are used extensively throughout the book of Revelation in the Holy Bible, where the Mark of the Beast is identified.
• The 216th verse of the Apocalypse: (Revelation 13:4) " And they worshipped the dragon which gave power unto the beast"
• A song by the British based band Meet Me at Midnight
• The NeoCube Alpha is composed of 216 magnetic spheres.
• The number of stitches on a baseball.

## References

• Wells, D. (1987). The Penguin Dictionary of Curious and Interesting Numbers (p. 144). London: Penguin Group.

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