Base | Representation |
---|---|
bin | 11110100110100100001000 |
3 | 120002120111111 |
4 | 132212210020 |
5 | 4023203110 |
6 | 443540104 |
7 | 125121400 |
oct | 36464410 |
9 | 16076444 |
10 | 8022280 |
11 | 458a292 |
12 | 282a634 |
13 | 187b616 |
14 | 10cb800 |
15 | a86e8a |
hex | 7a6908 |
8022280 has 48 divisors (see below), whose sum is σ = 21002220. Its totient is φ = 2749824.
The previous prime is 8022257. The next prime is 8022281. The reversal of 8022280 is 822208.
It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 103684 = 2814^2 + 322^2 .
It is not an unprimeable number, because it can be changed into a prime (8022281) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 4006.
Almost surely, 28022280 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 8022280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501110).
8022280 is an abundant number, since it is smaller than the sum of its proper divisors (12979940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8022280 is a wasteful number, since it uses less digits than its factorization.
8022280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4118 (or 4107 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
The square root of 8022280 is about 2832.3629710897. The cubic root of 8022280 is about 200.1854945723.
Adding to 8022280 its reverse (822208), we get a palindrome (8844488).
The spelling of 8022280 in words is "eight million, twenty-two thousand, two hundred eighty".
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