The number 22132
22132 is a composite number with 12 divisors. Its prime factorisation is × 11 × 503. Divisors (12): 1, 2, 4, 11, 22, 44, 503, 1006, 2012, 5533, 11066, 22132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22132 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 22132 itself that is 20204, so 22132 is deficient (20204 is less than 22132). Euler's totient φ(22132) = 10040 numbers up to 22132 share no factor with it.
- 4
The digits of 22132 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 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22132 = 2^{2} \times 11 \times 503 \]22132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 10040 |
| Square | 489825424 |
| Cube | 10840816283968 |
| Square root | 148.768276 (= 2√5533) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.2132 × |
22132 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and thirty-two |
| Binary (base 2) | 101011001110100 |
| Octal (base 8) | 53164 |
| Hexadecimal (base 16) | 5674 |
| Base 3 | 1010100201 |
| As time | 22132 seconds = 6 h 8 min 52 s |
Is 22132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22132 ÷ 2 = 11066) | 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 (22132 ÷ 4 = 5533) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (22132 ÷ 11 = 2012) | 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 22132 a prime number?
No. 22132 = × 11 × 503, so it is divisible by 2.
What are the factors of 22132?
1, 2, 4, 11, 22, 44, 503, 1006, 2012, 5533, 11066, 22132.
What is 22132 in binary?
101011001110100 (hexadecimal 5674, octal 53164).
What is the square root of 22132?
About 148.7683, exactly 2√5533.
Is 22132 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22132?
It is a composite number with 12 divisors.