The number 22012
22012 is a composite number with 6 divisors. Its prime factorisation is × 5503. Divisors (6): 1, 2, 4, 5503, 11006, 22012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22012: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22012 is composite. Its prime factorisation is
- 3
The divisors add up to 38528; without 22012 itself that is 16516, so 22012 is deficient (16516 is less than 22012). Euler's totient φ(22012) = 11004 numbers up to 22012 share no factor with it.
- 4
The digits of 22012 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22012 = 2^{2} \times 5503 \]22012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 38528 |
| Euler totient φ(n) | 11004 |
| Square | 484528144 |
| Cube | 10665433505728 |
| Square root | 148.364416 (= 2√5503) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.2012 × |
22012 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and twelve |
| Binary (base 2) | 101010111111100 |
| Octal (base 8) | 52774 |
| Hexadecimal (base 16) | 55FC |
| Base 3 | 1010012021 |
| As time | 22012 seconds = 6 h 6 min 52 s |
Is 22012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22012 ÷ 2 = 11006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22012 ÷ 4 = 5503) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22012 a prime number?
No. 22012 = × 5503, so it is divisible by 2.
What are the factors of 22012?
1, 2, 4, 5503, 11006, 22012.
What is 22012 in binary?
101010111111100 (hexadecimal 55FC, octal 52774).
What is the square root of 22012?
About 148.3644, exactly 2√5503.
Is 22012 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 22012?
22012 is a happy number: repeatedly adding the squares of its digits reaches 1.