The number 32220
32220 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 179. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 32220.
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How to work it out
- 1
What is special about 32220: a Harshad number: divisible by its digit sum 9.
- 2
32220 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 32220 itself that is 66060, so 32220 is abundant (66060 is more than 32220). Euler's totient φ(32220) = 8544 numbers up to 32220 share no factor with it.
- 4
The digits of 32220 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32220 = 2^{2} \times 3^{2} \times 5 \times 179 \]32220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 8544 |
| Square | 1038128400 |
| Cube | 33448497048000 |
| Square root | 179.499304 (= 6√895) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.222 × |
32220 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and twenty |
| Binary (base 2) | 111110111011100 |
| Octal (base 8) | 76734 |
| Hexadecimal (base 16) | 7DDC |
| Base 3 | 1122012100 |
| As time | 32220 seconds = 8 h 57 min 0 s |
Is 32220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32220 ÷ 2 = 16110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32220 ÷ 3 = 10740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32220 ÷ 4 = 8055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32220 ÷ 5 = 6444) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32220 ÷ 6 = 5370) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (32220 ÷ 9 = 3580) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32220 ÷ 10 = 3222) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32220 ÷ 12 = 2685) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32220 a prime number?
No. 32220 = × × 5 × 179, so it is divisible by 2.
What are the factors of 32220?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 179, 180, 358, 537, 716, 895, 1074, 1611, 1790, 2148, 2685, 3222, 3580, 5370, 6444, 8055, 10740, 16110, 32220.
What is 32220 in binary?
111110111011100 (hexadecimal 7DDC, octal 76734).
What is the square root of 32220?
About 179.4993, exactly 6√895.
Is 32220 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 32220?
32220 is a Harshad number: divisible by its digit sum 9.