The number 24200
24200 is a composite number with 36 divisors. Its prime factorisation is × × . Divisors (36): 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100 … 24200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24200: a Harshad number: divisible by its digit sum 8.
- 2
24200 is composite. Its prime factorisation is
- 3
The divisors add up to 61845; without 24200 itself that is 37645, so 24200 is abundant (37645 is more than 24200). Euler's totient φ(24200) = 8800 numbers up to 24200 share no factor with it.
- 4
The digits of 24200 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24200 = 2^{3} \times 5^{2} \times 11^{2} \]24200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 61845 |
| Euler totient φ(n) | 8800 |
| Square | 585640000 |
| Cube | 14172488000000 |
| Square root | 155.563492 (= 110√2) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.42 × |
24200 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred |
| Binary (base 2) | 101111010001000 |
| Octal (base 8) | 57210 |
| Hexadecimal (base 16) | 5E88 |
| Base 3 | 1020012022 |
| As time | 24200 seconds = 6 h 43 min 20 s |
Is 24200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24200 ÷ 2 = 12100) | 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 (24200 ÷ 4 = 6050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24200 ÷ 5 = 4840) | 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 1) | 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 | Yes (24200 ÷ 8 = 3025) | 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 (24200 ÷ 10 = 2420) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24200 ÷ 11 = 2200) | 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 24200 a prime number?
No. 24200 = × × , so it is divisible by 2.
What are the factors of 24200?
1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 121, 200, 220, 242, 275, 440, 484, 550, 605, 968, 1100, 1210, 2200, 2420, 3025, 4840, 6050, 12100, 24200.
What is 24200 in binary?
101111010001000 (hexadecimal 5E88, octal 57210).
What is the square root of 24200?
About 155.5635, exactly 110√2.
Is 24200 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 24200?
24200 is a Harshad number: divisible by its digit sum 8.