The number 24220
24220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 173. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 173, 346, 692, 865 … 24220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24220: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
24220 is composite. Its prime factorisation is
- 3
The divisors add up to 58464; without 24220 itself that is 34244, so 24220 is abundant (34244 is more than 24220). Euler's totient φ(24220) = 8256 numbers up to 24220 share no factor with it.
- 4
The digits of 24220 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24220 = 2^{2} \times 5 \times 7 \times 173 \]24220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 58464 |
| Euler totient φ(n) | 8256 |
| Square | 586608400 |
| Cube | 14207655448000 |
| Square root | 155.627761 (= 2√6055) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.422 × |
24220 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and twenty |
| Binary (base 2) | 101111010011100 |
| Octal (base 8) | 57234 |
| Hexadecimal (base 16) | 5E9C |
| Base 3 | 1020020001 |
| As time | 24220 seconds = 6 h 43 min 40 s |
Is 24220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24220 ÷ 2 = 12110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24220 ÷ 4 = 6055) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (24220 ÷ 5 = 4844) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24220 ÷ 7 = 3460) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (24220 ÷ 10 = 2422) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24220 a prime number?
No. 24220 = × 5 × 7 × 173, so it is divisible by 2.
What are the factors of 24220?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 173, 346, 692, 865, 1211, 1730, 2422, 3460, 4844, 6055, 12110, 24220.
What is 24220 in binary?
101111010011100 (hexadecimal 5E9C, octal 57234).
What is the square root of 24220?
About 155.6278, exactly 2√6055.
Is 24220 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24220?
24220 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.