| Base | Representation |
|---|---|
| bin | 1111001111001010… |
| … | …00110000001000000 |
| 3 | 210010002112122110100 |
| 4 | 13213211012001000 |
| 5 | 113223114300120 |
| 6 | 3431414402400 |
| 7 | 406466535456 |
| oct | 74745060100 |
| 9 | 23102478410 |
| 10 | 8180228160 |
| 11 | 3518586545 |
| 12 | 1703660400 |
| 13 | a04996ac0 |
| 14 | 5785c09d6 |
| 15 | 32d24b490 |
| hex | 1e7946040 |
8180228160 has 504 divisors, whose sum is σ = 31471005384. Its totient is φ = 1937571840.
The previous prime is 8180228159. The next prime is 8180228167. The reversal of 8180228160 is 618220818.
It can be written as a sum of positive squares in 12 ways, for example, as 4804153344 + 3376074816 = 69312^2 + 58104^2 .
It is a super-2 number, since 2×81802281602 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (8180228167) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112057884 + ... + 112057956.
It is an arithmetic number, because the mean of its divisors is an integer number (62442471).
Almost surely, 28180228160 is an apocalyptic number.
8180228160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8180228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735502692).
8180228160 is an abundant number, since it is smaller than the sum of its proper divisors (23290777224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8180228160 is a wasteful number, since it uses less digits than its factorization.
8180228160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 223 (or 137 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 36.
The square root of 8180228160 is about 90444.6137699753. The cubic root of 8180228160 is about 2014.9076187002.
Adding to 8180228160 its reverse (618220818), we get a palindrome (8798448978).
The spelling of 8180228160 in words is "eight billion, one hundred eighty million, two hundred twenty-eight thousand, one hundred sixty".
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