The number 24222
24222 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 367. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 367, 734, 1101, 2202, 4037, 8074, 12111, 24222.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24222: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24222 is composite. Its prime factorisation is
- 3
The divisors add up to 52992; without 24222 itself that is 28770, so 24222 is abundant (28770 is more than 24222). Euler's totient φ(24222) = 7320 numbers up to 24222 share no factor with it.
- 4
The digits of 24222 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24222 = 2 \times 3 \times 11 \times 367 \]
24222 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52992 |
| Euler totient φ(n) | 7320 |
| Square | 586705284 |
| Cube | 14211175389048 |
| Square root | 155.634186 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4222 × |
24222 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and twenty-two |
| Binary (base 2) | 101111010011110 |
| Octal (base 8) | 57236 |
| Hexadecimal (base 16) | 5E9E |
| Base 3 | 1020020010 |
| As time | 24222 seconds = 6 h 43 min 42 s |
Is 24222 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24222 ÷ 2 = 12111) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24222 ÷ 3 = 8074) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24222 ÷ 6 = 4037) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24222 ÷ 11 = 2202) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24222 a prime number?
No. 24222 = 2 × 3 × 11 × 367, so it is divisible by 2.
What are the factors of 24222?
1, 2, 3, 6, 11, 22, 33, 66, 367, 734, 1101, 2202, 4037, 8074, 12111, 24222.
What is 24222 in binary?
101111010011110 (hexadecimal 5E9E, octal 57236).
What is the square root of 24222?
About 155.6342.
Is 24222 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 24222?
24222 is a happy number: repeatedly adding the squares of its digits reaches 1.