Twenty two

Twenty two (22)

1. It is a Smith number for base 10. A number is a Smith number if the sum of its digits equals to the sum of digits of its prime factors.

22 = 2 x 11 and 2 + 2 = 2 + 1 + 1

Basically, the number had its origin from a Telephone number of Harold Smith. His telephone number was 4937775 and its factors are 3 x 5 x 5 x 65837

  

4937775 = 3¹ 5² 65837¹

while

4 + 9 + 3 + 7 + 7 + 7 + 5 = 3 · 1 + 5 · 2 + (6 + 5 + 8 + 3 + 7) · 1 = 42

2. If you cut a circle with just six line segments, the maximum number of pieces that can be so created is 22.

3. Twenty two is the fourth pentagonal number. The series of the Pentagonal number is 1, 5, 12, 22, 35…

4. There are 22 ways of linking five hexagons together having each shapes are different.

5. It can be portioned into 1002 ways.

6. 22 is a Palindrome number so is its square. The square of 22 is 484 which when read from left to right or vice versa is same.

7. It is the smallest number which can be expressed as the sum of 2 primes in 3 ways.

22 = 3 + 19 = 5 + 17 = 11 + 11

8. It is the number of writable regular polygon in a Euclidean circle.
These are 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360.

9. Factorial of 22 has 22 digits.


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Dr Rajesh Kumar Thakur

rkthakur1974@gmail.com