Base | Representation |
---|---|
bin | 11110100110100000000000 |
3 | 120002120010201 |
4 | 132212200000 |
5 | 4023201031 |
6 | 443534544 |
7 | 125120542 |
oct | 36464000 |
9 | 16076121 |
10 | 8022016 |
11 | 458a072 |
12 | 282a454 |
13 | 187b472 |
14 | 10cb692 |
15 | a86d61 |
hex | 7a6800 |
8022016 has 24 divisors (see below), whose sum is σ = 16044210. Its totient is φ = 4009984.
The previous prime is 8021999. The next prime is 8022017. The reversal of 8022016 is 6102208.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 5760000 + 2262016 = 2400^2 + 1504^2 .
It is a pancake number, because a pancake can be divided into 8022016 parts by 4005 straight cuts.
It is a junction number, because it is equal to n+sod(n) for n = 8021984 and 8022002.
It is not an unprimeable number, because it can be changed into a prime (8022017) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90 + ... + 4006.
Almost surely, 28022016 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022105).
8022016 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8022016 is an equidigital number, since it uses as much as digits as its factorization.
8022016 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3939 (or 3919 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 19.
The square root of 8022016 is about 2832.3163665099. The cubic root of 8022016 is about 200.1832986234.
Adding to 8022016 its product of nonzero digits (192), we get a palindrome (8022208).
The spelling of 8022016 in words is "eight million, twenty-two thousand, sixteen".
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