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Added {{fact|date=August 2012}} after the synonyms.
 
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{{Infobox number
| number = 216
| divisor = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
}}
'''216''' is a [[natural number]].
 
Since <math>216 = 3^3 + 4^3 + 5^3 = 6^3</math>, it is the smallest cube that's also the [[Euler's sum of powers conjecture|sum of three cubes]] ([[Plato]] was among the first to notice this, and mentioned it in Book VIII of [[Republic (Plato)|''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 divisor]]s of any other integer, it is an [[untouchable number]].
 
This multiplicative [[magic square]]
 
<math>\begin{pmatrix}
2 & 9 & 12\\
36 & 6 & 1\\
3 & 4 & 18
\end{pmatrix}</math>
 
has magic constant 216.
 
In base 10, it is a [[Harshad number]].
 
There are 216 fixed [[hexomino]]es, the [[polyomino]]es made from 6 squares.
 
216 is a [[Friedman number]].
 
==In other fields==
* The 216 colors formed by a 6×6×6 [[color cube]] are sometimes known as the [[Web colors#Web-safe colors|web-safe color palette]].
* [[ISO 216]] is the [[International Organization for Standardization|ISO]]'s standard for [[paper size]]s.
* In the film ''[[Pi (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.
* 216 is the numerical value of [[Gevurah]], the fifth [[sephirot]] in the kabbalistic tree of life, and the sum of the letters in [[Shemhamphorasch |God's 72 hidden names]].
* 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.
* According to the [[Ken Burns]] series [[Baseball (TV series)|Baseball]], it is the number of stitches on a [[baseball]].
* +216 is the country code of [[Tunisia]].
* (216) is the area code of [[Cleveland]], [[Ohio]].
* The [[Bayon]] temple in [[Cambodia]] has 216 gigantic smiling faces.
 
==See also==
*The year [[216]]
 
==References==
 
* Wells, D. (1987). ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' (p.&nbsp;144). London: Penguin Group.
 
{{Integers|2}}
 
{{DEFAULTSORT:216 (Number)}}
[[Category:Integers]]
 
[[ca:Nombre 210#Nombres del 211 al 219]]

Revision as of 12:46, 30 January 2014

Template:Infobox number 216 is a natural number.

Since , 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

has magic constant 216.

In base 10, it is a Harshad number.

There are 216 fixed hexominoes, the polyominoes made from 6 squares.

216 is a Friedman number.

In other fields

See also

References

Template:Integers

ca:Nombre 210#Nombres del 211 al 219