The number 22000
22000 is a composite number with 40 divisors. Its prime factorisation is × × 11. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80 … 22000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22000: a Harshad number: divisible by its digit sum 4.
- 2
22000 is composite. Its prime factorisation is
- 3
The divisors add up to 58032; without 22000 itself that is 36032, so 22000 is abundant (36032 is more than 22000). Euler's totient φ(22000) = 8000 numbers up to 22000 share no factor with it.
- 4
The digits of 22000 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22000 = 2^{4} \times 5^{3} \times 11 \]22000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 58032 |
| Euler totient φ(n) | 8000 |
| Square | 484000000 |
| Cube | 10648000000000 |
| Square root | 148.323970 (= 20√55) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.2 × |
22000 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand |
| Binary (base 2) | 101010111110000 |
| Octal (base 8) | 52760 |
| Hexadecimal (base 16) | 55F0 |
| Base 3 | 1010011211 |
| As time | 22000 seconds = 6 h 6 min 40 s |
Is 22000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22000 ÷ 2 = 11000) | 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 (22000 ÷ 4 = 5500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22000 ÷ 5 = 4400) | 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 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 | Yes (22000 ÷ 8 = 2750) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (22000 ÷ 10 = 2200) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22000 ÷ 11 = 2000) | 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 22000 a prime number?
No. 22000 = × × 11, so it is divisible by 2.
What are the factors of 22000?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 125, 176, 200, 220, 250, 275, 400, 440, 500, 550, 880, 1000, 1100, 1375, 2000, 2200, 2750, 4400, 5500, 11000, 22000.
What is 22000 in binary?
101010111110000 (hexadecimal 55F0, octal 52760).
What is the square root of 22000?
About 148.3240, exactly 20√55.
Is 22000 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 22000?
22000 is a Harshad number: divisible by its digit sum 4.