The number 222
222 is a palindrome: it reads 222 backwards too. Its prime factorisation is 2 × 3 × 37. Divisors (8): 1, 2, 3, 6, 37, 74, 111, 222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 222: a palindrome: it reads 222 backwards too; a Harshad number: divisible by its digit sum 6.
- 2
222 is composite. Its prime factorisation is
- 3
The divisors add up to 456; without 222 itself that is 234, so 222 is abundant (234 is more than 222). Euler's totient φ(222) = 72 numbers up to 222 share no factor with it.
- 4
The digits of 222 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 222 = 2 \times 3 \times 37 \]
222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 456 |
| Euler totient φ(n) | 72 |
| Square | 49284 |
| Cube | 10941048 |
| Square root | 14.899664 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 2.22 × |
222 in other forms
| Form | Value |
|---|---|
| In words | two hundred and twenty-two |
| Roman numerals | CCXXII |
| Binary (base 2) | 11011110 |
| Octal (base 8) | 336 |
| Hexadecimal (base 16) | DE |
| Base 3 | 22020 |
| As time | 222 seconds = 3 min 42 s |
Is 222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (222 ÷ 2 = 111) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (222 ÷ 3 = 74) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (222 ÷ 6 = 37) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 222 a prime number?
No. 222 = 2 × 3 × 37, so it is divisible by 2.
What are the factors of 222?
1, 2, 3, 6, 37, 74, 111, 222.
What is 222 in binary?
11011110 (hexadecimal DE, octal 336).
What is the square root of 222?
About 14.8997.
What is 222 in Roman numerals?
CCXXII.
Is 222 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 222?
222 is a palindrome: it reads 222 backwards too; a Harshad number: divisible by its digit sum 6.