# Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

## Unique Properties of 22

• 22 is the smallest Hoax Number
• 22 is the smallest multidigit number such that the sum of its digits equals the product of its digits
• 22 is the only fixed point of the Look and Say operation
• 22 is the smallest number that can be partitioned into sets integers such that the sum of their reciprocals is 1 in more than one way
• 22 is famous as the numerator of of 22/7, commonly used rational approximation for pi with small denominator
• When cutting a circle with just six line segments, the maximum number of pieces that can be so created is 22. In addition to that, cutting a circle with five circles, the maximum number of pieces is also 22
• 22 is a catch, as in Catch-22
• 22 is the only palindrome with an even number of digits that can be expressed as a sum of two palindromic primes
• 22 is the smallest number that is the sum of terms of an arithmetic progression containing four positive different integers in two ways
• 22 is the smallest integer n, except for the trivial 1, such that n! has n digits