222 (number)

Today, 222 (number) is a topic of great relevance and interest for society. As time progresses, it has become increasingly important to understand and analyze 222 (number) from different perspectives. In this article, we will delve into the world of 222 (number), exploring its implications, impact, and possible solutions. Through an exhaustive and detailed analysis, we aim to provide a global and complete vision of this topic that will undoubtedly mark a before and after in various areas of daily life.

← 221 222 223 →
Cardinaltwo hundred twenty-two
Ordinal222nd
(two hundred twenty-second)
Factorization2 × 3 × 37
Greek numeralΣΚΒ´
Roman numeralCCXXII
Binary110111102
Ternary220203
Senary10106
Octal3368
Duodecimal16612
HexadecimalDE16

222 (two hundred twenty-two) is the natural number following 221 and preceding 223.

In mathematics

It is a decimal repdigit and a strobogrammatic number (meaning that it looks the same turned upside down on a calculator display). It is one of the numbers whose digit sum in decimal is the same as it is in binary.

222 is a noncototient, meaning that it cannot be written in the form n − φ(n) where φ is Euler's totient function counting the number of values that are smaller than n and relatively prime to it.

There are exactly 222 distinct ways of assigning a meet and join operation to a set of ten unlabelled elements in order to give them the structure of a lattice, and exactly 222 different six-edge polysticks.

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A010785 (Repdigit numbers, or numbers with repeated digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A018846 (Strobogrammatic numbers: numbers that are the same upside down (using calculator-style numerals))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A037308 (Numbers n such that (sum of base 2 digits of n) = (sum of base 10 digits of n))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^ Sloane, N. J. A. (ed.). "Sequence A005278 (Noncototients: n such that x-phi(x) = n has no solution)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^ Sloane, N. J. A. (ed.). "Sequence A006966 (Number of lattices on n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^ Sloane, N. J. A. (ed.). "Sequence A019988 (Number of ways of embedding a connected graph with n edges in the square lattice)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.