The number 22133
22133 is the 2482nd prime number. Its only divisors are 1 and 22133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22133: the 2482nd prime number.
- 2
22133 is prime, so its only factors are 1 and 22133. It is the 2482nd prime; the next prime is 22147 and the one before is 22129.
- 3
The divisors add up to 22134; without 22133 itself that is 1, so 22133 is deficient (1 is less than 22133). Euler's totient φ(22133) = 22132 numbers up to 22133 share no factor with it.
- 4
The digits of 22133 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
22133 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 22134 |
| Euler totient φ(n) | 22132 |
| Square | 489869689 |
| Cube | 10842285826637 |
| Square root | 148.771637 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.2133 × |
22133 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and thirty-three |
| Binary (base 2) | 101011001110101 |
| Octal (base 8) | 53165 |
| Hexadecimal (base 16) | 5675 |
| Base 3 | 1010100202 |
| As time | 22133 seconds = 6 h 8 min 53 s |
Is 22133 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22133 a prime number?
Yes. 22133 is divisible only by 1 and itself.
What are the factors of 22133?
1, 22133.
What is 22133 in binary?
101011001110101 (hexadecimal 5675, octal 53165).
What is the square root of 22133?
About 148.7716.
Is 22133 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 22133?
22133 is the 2482nd prime number.