The number 22016
22016 is a composite number with 20 divisors. Its prime factorisation is × 43. Divisors (20): 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1376 … 22016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22016 is composite. Its prime factorisation is
- 3
The divisors add up to 45012; without 22016 itself that is 22996, so 22016 is abundant (22996 is more than 22016). Euler's totient φ(22016) = 10752 numbers up to 22016 share no factor with it.
- 4
The digits of 22016 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22016 = 2^{9} \times 43 \]22016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 45012 |
| Euler totient φ(n) | 10752 |
| Square | 484704256 |
| Cube | 10671248900096 |
| Square root | 148.377896 (= 16√86) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.2016 × |
22016 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and sixteen |
| Binary (base 2) | 101011000000000 |
| Octal (base 8) | 53000 |
| Hexadecimal (base 16) | 5600 |
| Base 3 | 1010012102 |
| As time | 22016 seconds = 6 h 6 min 56 s |
Is 22016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22016 ÷ 2 = 11008) | 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 (22016 ÷ 4 = 5504) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 1) | 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 | Yes (22016 ÷ 8 = 2752) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 22016 a prime number?
No. 22016 = × 43, so it is divisible by 2.
What are the factors of 22016?
1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 512, 688, 1376, 2752, 5504, 11008, 22016.
What is 22016 in binary?
101011000000000 (hexadecimal 5600, octal 53000).
What is the square root of 22016?
About 148.3779, exactly 16√86.
Is 22016 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 22016?
It is a composite number with 20 divisors.