The number 80220

Q: Is 80220 a prime number?

No. 80220 = 2^2 × 3 × 5 × 7 × 191, so it is divisible by 2.

80220 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 7 × 191. Divisors (48): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 80220.

Number

Pick any whole number from 1 to 100,000.

80220 = 2^{2} \times 3 \times 5 \times 7 \times 191

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How to work it out

1
What is special about 80220: a Harshad number: divisible by its digit sum 12.
2
80220 is composite. Its prime factorisation is
$80220 = 2^{2} \times 3 \times 5 \times 7 \times 191$
3
The divisors add up to 258048; without 80220 itself that is 177828, so 80220 is abundant (177828 is more than 80220). Euler's totient φ(80220) = 18240 numbers up to 80220 share no factor with it.
4
The digits of 80220 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80220 = 2^{2} \times 3 \times 5 \times 7 \times 191 \]

80220 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	258048
Euler totient φ(n)	18240
Square	6435248400
Cube	516235626648000
Square root	283.231354 (= 2√20055)
Digit sum / digital root	12 / 3
Collatz steps to 1	94
Scientific notation	8.022 × $10^{4}$

80220 in other forms

Form	Value
In words	eighty thousand two hundred and twenty
Binary (base 2)	10011100101011100
Octal (base 8)	234534
Hexadecimal (base 16)	1395C
Base 3	11002001010
As time	80220 seconds = 22 h 17 min 0 s

Is 80220 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80220 ÷ 2 = 40110)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80220 ÷ 3 = 26740)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80220 ÷ 4 = 20055)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (80220 ÷ 5 = 16044)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80220 ÷ 6 = 13370)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (80220 ÷ 7 = 11460)	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 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (80220 ÷ 10 = 8022)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 8)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80220 ÷ 12 = 6685)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80220 a prime number?

No. 80220 = $2^{2}$ × 3 × 5 × 7 × 191, so it is divisible by 2.

What are the factors of 80220?

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 191, 210, 382, 420, 573, 764, 955, 1146, 1337, 1910, 2292, 2674, 2865, 3820, 4011, 5348, 5730, 6685, 8022, 11460, 13370, 16044, 20055, 26740, 40110, 80220.

What is 80220 in binary?

10011100101011100 (hexadecimal 1395C, octal 234534).

What is the square root of 80220?

About 283.2314, exactly 2√20055.

Is 80220 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 80220?

80220 is a Harshad number: divisible by its digit sum 12.