| Base | Representation |
|---|---|
| bin | 1111011111110110… |
| … | …00110110100000000 |
| 3 | 210110211221210010000 |
| 4 | 13233323012310000 |
| 5 | 114014433410240 |
| 6 | 3453335040000 |
| 7 | 413116446303 |
| oct | 75773066400 |
| 9 | 23424853100 |
| 10 | 8320216320 |
| 11 | 358a5aa739 |
| 12 | 1742510000 |
| 13 | a2799b930 |
| 14 | 58d020b3a |
| 15 | 33a69e430 |
| hex | 1efec6d00 |
8320216320 has 360 divisors, whose sum is σ = 32066545896. Its totient is φ = 2047721472.
The previous prime is 8320216283. The next prime is 8320216327. The reversal of 8320216320 is 236120238.
8320216320 is a `hidden beast` number, since 8 + 3 + 2 + 0 + 21 + 632 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 400640256 + 7919576064 = 20016^2 + 88992^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×83202163202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8320216327) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1344754 + ... + 1350926.
Almost surely, 28320216320 is an apocalyptic number.
8320216320 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 8320216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16033272948).
8320216320 is an abundant number, since it is smaller than the sum of its proper divisors (23746329576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8320216320 is a wasteful number, since it uses less digits than its factorization.
8320216320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6219 (or 6196 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 8320216320 is about 91215.2197826657. The cubic root of 8320216320 is about 2026.3363689178.
Adding to 8320216320 its reverse (236120238), we get a palindrome (8556336558).
The spelling of 8320216320 in words is "eight billion, three hundred twenty million, two hundred sixteen thousand, three hundred twenty".
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