The number 22020
22020 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 367. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 367, 734, 1101, 1468 … 22020.
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How to work it out
- 1
What is special about 22020: a Harshad number: divisible by its digit sum 6.
- 2
22020 is composite. Its prime factorisation is
- 3
The divisors add up to 61824; without 22020 itself that is 39804, so 22020 is abundant (39804 is more than 22020). Euler's totient φ(22020) = 5856 numbers up to 22020 share no factor with it.
- 4
The digits of 22020 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 193 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22020 = 2^{2} \times 3 \times 5 \times 367 \]22020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61824 |
| Euler totient φ(n) | 5856 |
| Square | 484880400 |
| Cube | 10677066408000 |
| Square root | 148.391374 (= 2√5505) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 193 |
| Scientific notation | 2.202 × |
22020 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and twenty |
| Binary (base 2) | 101011000000100 |
| Octal (base 8) | 53004 |
| Hexadecimal (base 16) | 5604 |
| Base 3 | 1010012120 |
| As time | 22020 seconds = 6 h 7 min 0 s |
Is 22020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22020 ÷ 2 = 11010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (22020 ÷ 3 = 7340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (22020 ÷ 4 = 5505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (22020 ÷ 5 = 4404) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (22020 ÷ 6 = 3670) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (22020 ÷ 10 = 2202) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (22020 ÷ 12 = 1835) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22020 a prime number?
No. 22020 = × 3 × 5 × 367, so it is divisible by 2.
What are the factors of 22020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 367, 734, 1101, 1468, 1835, 2202, 3670, 4404, 5505, 7340, 11010, 22020.
What is 22020 in binary?
101011000000100 (hexadecimal 5604, octal 53004).
What is the square root of 22020?
About 148.3914, exactly 2√5505.
Is 22020 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 22020?
22020 is a Harshad number: divisible by its digit sum 6.