The number 23220
23220 is a triangular number: 1 + 2 + … + 215 = 23220. Its prime factorisation is × × 5 × 43. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 43 … 23220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23220: a triangular number: 1 + 2 + … + 215 = 23220; a Harshad number: divisible by its digit sum 9.
- 2
23220 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 23220 itself that is 50700, so 23220 is abundant (50700 is more than 23220). Euler's totient φ(23220) = 6048 numbers up to 23220 share no factor with it.
- 4
The digits of 23220 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23220 = 2^{2} \times 3^{3} \times 5 \times 43 \]23220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 6048 |
| Square | 539168400 |
| Cube | 12519490248000 |
| Square root | 152.381101 (= 6√645) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.322 × |
23220 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand two hundred and twenty |
| Binary (base 2) | 101101010110100 |
| Octal (base 8) | 55264 |
| Hexadecimal (base 16) | 5AB4 |
| Base 3 | 1011212000 |
| As time | 23220 seconds = 6 h 27 min 0 s |
Is 23220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23220 ÷ 2 = 11610) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23220 ÷ 3 = 7740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23220 ÷ 4 = 5805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23220 ÷ 5 = 4644) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23220 ÷ 6 = 3870) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (23220 ÷ 9 = 2580) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23220 ÷ 10 = 2322) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23220 ÷ 12 = 1935) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23220 a prime number?
No. 23220 = × × 5 × 43, so it is divisible by 2.
What are the factors of 23220?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 43, 45, 54, 60, 86, 90, 108, 129, 135, 172, 180, 215, 258, 270, 387, 430, 516, 540, 645, 774, 860, 1161, 1290, 1548, 1935, 2322, 2580, 3870, 4644, 5805, 7740, 11610, 23220.
What is 23220 in binary?
101101010110100 (hexadecimal 5AB4, octal 55264).
What is the square root of 23220?
About 152.3811, exactly 6√645.
Is 23220 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 23220?
23220 is a triangular number: 1 + 2 + … + 215 = 23220; a Harshad number: divisible by its digit sum 9.