The number 50220
50220 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 31. Divisors (60): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36 … 50220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50220: a Harshad number: divisible by its digit sum 9.
- 2
50220 is composite. Its prime factorisation is
- 3
The divisors add up to 162624; without 50220 itself that is 112404, so 50220 is abundant (112404 is more than 50220). Euler's totient φ(50220) = 12960 numbers up to 50220 share no factor with it.
- 4
The digits of 50220 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50220 = 2^{2} \times 3^{4} \times 5 \times 31 \]50220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 162624 |
| Euler totient φ(n) | 12960 |
| Square | 2522048400 |
| Cube | 126657270648000 |
| Square root | 224.098193 (= 18√155) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.022 × |
50220 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand two hundred and twenty |
| Binary (base 2) | 1100010000101100 |
| Octal (base 8) | 142054 |
| Hexadecimal (base 16) | C42C |
| Base 3 | 2112220000 |
| As time | 50220 seconds = 13 h 57 min 0 s |
Is 50220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50220 ÷ 2 = 25110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50220 ÷ 3 = 16740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50220 ÷ 4 = 12555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50220 ÷ 5 = 10044) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50220 ÷ 6 = 8370) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (50220 ÷ 9 = 5580) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50220 ÷ 10 = 5022) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50220 ÷ 12 = 4185) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50220 a prime number?
No. 50220 = × × 5 × 31, so it is divisible by 2.
What are the factors of 50220?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 31, 36, 45, 54, 60, 62, 81, 90, 93, 108, 124, 135, 155, 162, 180, 186, 270, 279, 310, 324, 372, 405, 465, 540, 558, 620, 810, 837, 930, 1116, 1395, 1620, 1674, 1860, 2511, 2790, 3348, 4185, 5022, 5580, 8370, 10044, 12555, 16740, 25110, 50220.
What is 50220 in binary?
1100010000101100 (hexadecimal C42C, octal 142054).
What is the square root of 50220?
About 224.0982, exactly 18√155.
Is 50220 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 50220?
50220 is a Harshad number: divisible by its digit sum 9.