The number 212
212 is a palindrome: it reads 212 backwards too. Its prime factorisation is × 53. Divisors (6): 1, 2, 4, 53, 106, 212.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 212: a palindrome: it reads 212 backwards too.
- 2
212 is composite. Its prime factorisation is
- 3
The divisors add up to 378; without 212 itself that is 166, so 212 is deficient (166 is less than 212). Euler's totient φ(212) = 104 numbers up to 212 share no factor with it.
- 4
The digits of 212 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 13 steps to reach 1.
LaTeX source of the formulas on this page
\[ 212 = 2^{2} \times 53 \]212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 378 |
| Euler totient φ(n) | 104 |
| Square | 44944 |
| Cube | 9528128 |
| Square root | 14.560220 (= 2√53) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 13 |
| Scientific notation | 2.12 × |
212 in other forms
| Form | Value |
|---|---|
| In words | two hundred and twelve |
| Roman numerals | CCXII |
| Binary (base 2) | 11010100 |
| Octal (base 8) | 324 |
| Hexadecimal (base 16) | D4 |
| Base 3 | 21212 |
| As time | 212 seconds = 3 min 32 s |
Is 212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (212 ÷ 2 = 106) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (212 ÷ 4 = 53) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 212 a prime number?
No. 212 = × 53, so it is divisible by 2.
What are the factors of 212?
1, 2, 4, 53, 106, 212.
What is 212 in binary?
11010100 (hexadecimal D4, octal 324).
What is the square root of 212?
About 14.5602, exactly 2√53.
What is 212 in Roman numerals?
CCXII.
Is 212 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 212?
212 is a palindrome: it reads 212 backwards too.