Number reference
222 explained.
222: two hundred twenty-two, composite, repdigit; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- two hundred twenty-two
- Classification
- composite
- Factors
- 1, 2, 3, 6, 37, 74, 111, 222
- Prime factorization
- 2 × 3 × 37
- Square root
- 14.899664
- Cube root
- 6.055049
- Binary
- 11011110
- Octal
- 336
- Hexadecimal
- DE
- Roman numeral
- CCXXII
- Digit sum
- 6
- Digital root
- 6
What makes 222 notable
- Repdigit. 222 is written with a single repeated digit, so it is divisible by the repunit of the same length.
222 in everyday use
Two hundred twenty-two is a repdigit, three identical digits, and the kind of number that stands out on a clock, a receipt, or a licence plate purely because of its look. Room 222 was an American television series about a Los Angeles high school that ran from 1969 to 1974 and won an Emmy for outstanding new series. In cricket a score of 222 is a "double Nelson", twice the supposedly unlucky 111, and superstitious spectators treat it the same way.
That factorisation is the key to it: 222 = 2 × 3 × 37, a product of three distinct primes, which makes it a sphenic number with exactly eight divisors. Since 111 = 3 × 37, every repdigit of three digits is a multiple of 37, and 222 ÷ 37 = 6. It is 11011110 in binary and DE in hexadecimal. Its digit sum is 6, so it is divisible by 3 but not by 9, and it sits between the primes 211 and 223.
Nearby numbers
How to read this page
The factor list shows every way 222 splits into equal whole-number groups — 8 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 222 for contexts that do not use decimal.
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