The number 22201
22201 is a perfect square (149²). Its prime factorisation is . Divisors (3): 1, 149, 22201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22201: a perfect square (149²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (149²).
- 2
22201 is composite. Its prime factorisation is
- 3
The divisors add up to 22351; without 22201 itself that is 150, so 22201 is deficient (150 is less than 22201). Euler's totient φ(22201) = 22052 numbers up to 22201 share no factor with it.
- 4
The digits of 22201 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22201 = 149^{2} \]22201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 22351 |
| Euler totient φ(n) | 22052 |
| Square | 492884401 |
| Cube | 10942526586601 |
| Square root | 149 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.2201 × |
| Perfect power |
22201 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand two hundred and one |
| Binary (base 2) | 101011010111001 |
| Octal (base 8) | 53271 |
| Hexadecimal (base 16) | 56B9 |
| Base 3 | 1010110021 |
| As time | 22201 seconds = 6 h 10 min 1 s |
Is 22201 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 4) | 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 7) | 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 3) | 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 22201 a prime number?
No. 22201 = , so it is divisible by 149.
What are the factors of 22201?
1, 149, 22201.
What is 22201 in binary?
101011010111001 (hexadecimal 56B9, octal 53271).
What is the square root of 22201?
149, because 149 × 149 = 22201.
Is 22201 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 22201?
22201 is a perfect square (149²); a happy number: repeatedly adding the squares of its digits reaches 1; the square of a prime (149²).