The number 22801
22801 is a perfect square (151²). Its prime factorisation is . Divisors (3): 1, 151, 22801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22801: a perfect square (151²); the square of a prime (151²).
- 2
22801 is composite. Its prime factorisation is
- 3
The divisors add up to 22953; without 22801 itself that is 152, so 22801 is deficient (152 is less than 22801). Euler's totient φ(22801) = 22650 numbers up to 22801 share no factor with it.
- 4
The digits of 22801 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22801 = 151^{2} \]22801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 22953 |
| Euler totient φ(n) | 22650 |
| Square | 519885601 |
| Cube | 11853911588401 |
| Square root | 151 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2801 × |
| Perfect power |
22801 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand eight hundred and one |
| Binary (base 2) | 101100100010001 |
| Octal (base 8) | 54421 |
| Hexadecimal (base 16) | 5911 |
| Base 3 | 1011021111 |
| As time | 22801 seconds = 6 h 20 min 1 s |
Is 22801 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 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22801 a prime number?
No. 22801 = , so it is divisible by 151.
What are the factors of 22801?
1, 151, 22801.
What is 22801 in binary?
101100100010001 (hexadecimal 5911, octal 54421).
What is the square root of 22801?
151, because 151 × 151 = 22801.
Is 22801 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 22801?
22801 is a perfect square (151²); the square of a prime (151²).