The number 40220
40220 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2011. Divisors (12): 1, 2, 4, 5, 10, 20, 2011, 4022, 8044, 10055, 20110, 40220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40220 is composite. Its prime factorisation is
- 3
The divisors add up to 84504; without 40220 itself that is 44284, so 40220 is abundant (44284 is more than 40220). Euler's totient φ(40220) = 16080 numbers up to 40220 share no factor with it.
- 4
The digits of 40220 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40220 = 2^{2} \times 5 \times 2011 \]40220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84504 |
| Euler totient φ(n) | 16080 |
| Square | 1617648400 |
| Cube | 65061818648000 |
| Square root | 200.549246 (= 2√10055) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.022 × |
40220 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and twenty |
| Binary (base 2) | 1001110100011100 |
| Octal (base 8) | 116434 |
| Hexadecimal (base 16) | 9D1C |
| Base 3 | 2001011122 |
| As time | 40220 seconds = 11 h 10 min 20 s |
Is 40220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40220 ÷ 2 = 20110) | 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 (40220 ÷ 4 = 10055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40220 ÷ 5 = 8044) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40220 ÷ 10 = 4022) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 40220 a prime number?
No. 40220 = × 5 × 2011, so it is divisible by 2.
What are the factors of 40220?
1, 2, 4, 5, 10, 20, 2011, 4022, 8044, 10055, 20110, 40220.
What is 40220 in binary?
1001110100011100 (hexadecimal 9D1C, octal 116434).
What is the square root of 40220?
About 200.5492, exactly 2√10055.
Is 40220 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 40220?
It is a composite number with 12 divisors.