The number 22014
22014 is a composite number with 12 divisors. Its prime factorisation is 2 × × 1223. Divisors (12): 1, 2, 3, 6, 9, 18, 1223, 2446, 3669, 7338, 11007, 22014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22014: a Harshad number: divisible by its digit sum 9.
- 2
22014 is composite. Its prime factorisation is
- 3
The divisors add up to 47736; without 22014 itself that is 25722, so 22014 is abundant (25722 is more than 22014). Euler's totient φ(22014) = 7332 numbers up to 22014 share no factor with it.
- 4
The digits of 22014 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22014 = 2 \times 3^{2} \times 1223 \]22014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 47736 |
| Euler totient φ(n) | 7332 |
| Square | 484616196 |
| Cube | 10668340938744 |
| Square root | 148.371156 (= 3√2446) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.2014 × |
22014 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and fourteen |
| Binary (base 2) | 101010111111110 |
| Octal (base 8) | 52776 |
| Hexadecimal (base 16) | 55FE |
| Base 3 | 1010012100 |
| As time | 22014 seconds = 6 h 6 min 54 s |
Is 22014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22014 ÷ 2 = 11007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22014 ÷ 3 = 7338) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22014 ÷ 6 = 3669) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (22014 ÷ 9 = 2446) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22014 a prime number?
No. 22014 = 2 × × 1223, so it is divisible by 2.
What are the factors of 22014?
1, 2, 3, 6, 9, 18, 1223, 2446, 3669, 7338, 11007, 22014.
What is 22014 in binary?
101010111111110 (hexadecimal 55FE, octal 52776).
What is the square root of 22014?
About 148.3712, exactly 3√2446.
Is 22014 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 22014?
22014 is a Harshad number: divisible by its digit sum 9.