The number 20220
20220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 337. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 337, 674, 1011, 1348 … 20220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20220: a Harshad number: divisible by its digit sum 6.
- 2
20220 is composite. Its prime factorisation is
- 3
The divisors add up to 56784; without 20220 itself that is 36564, so 20220 is abundant (36564 is more than 20220). Euler's totient φ(20220) = 5376 numbers up to 20220 share no factor with it.
- 4
The digits of 20220 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20220 = 2^{2} \times 3 \times 5 \times 337 \]20220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56784 |
| Euler totient φ(n) | 5376 |
| Square | 408848400 |
| Cube | 8266914648000 |
| Square root | 142.197046 (= 2√5055) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.022 × |
20220 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and twenty |
| Binary (base 2) | 100111011111100 |
| Octal (base 8) | 47374 |
| Hexadecimal (base 16) | 4EFC |
| Base 3 | 1000201220 |
| As time | 20220 seconds = 5 h 37 min 0 s |
Is 20220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20220 ÷ 2 = 10110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20220 ÷ 3 = 6740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20220 ÷ 4 = 5055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20220 ÷ 5 = 4044) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20220 ÷ 6 = 3370) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20220 ÷ 10 = 2022) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20220 ÷ 12 = 1685) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20220 a prime number?
No. 20220 = × 3 × 5 × 337, so it is divisible by 2.
What are the factors of 20220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 337, 674, 1011, 1348, 1685, 2022, 3370, 4044, 5055, 6740, 10110, 20220.
What is 20220 in binary?
100111011111100 (hexadecimal 4EFC, octal 47374).
What is the square root of 20220?
About 142.1970, exactly 2√5055.
Is 20220 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 20220?
20220 is a Harshad number: divisible by its digit sum 6.