Base | Representation |
---|---|
bin | 10000110000111010… |
… | …11110111111100100 |
3 | 212020020200110201101 |
4 | 20120131132333210 |
5 | 121413040120100 |
6 | 4045032005444 |
7 | 436015300651 |
oct | 103035367744 |
9 | 25206613641 |
10 | 9000316900 |
11 | 38a9498333 |
12 | 18b2230884 |
13 | b05861603 |
14 | 615498c28 |
15 | 37a24086a |
hex | 21875efe4 |
9000316900 has 81 divisors (see below), whose sum is σ = 20017972891. Its totient is φ = 3512466880.
The previous prime is 9000316867. The next prime is 9000316903. The reversal of 9000316900 is 96130009.
It is a happy number.
The square root of 9000316900 is 94870.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 67798756 + 8932518144 = 8234^2 + 94512^2 .
It is a super-2 number, since 2×90003169002 (a number of 21 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (9000316903) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50281011 + ... + 50281189.
Almost surely, 29000316900 is an apocalyptic number.
9000316900 is the 94870-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9000316900
9000316900 is an abundant number, since it is smaller than the sum of its proper divisors (11017655991).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9000316900 is a wasteful number, since it uses less digits than its factorization.
9000316900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 478 (or 239 counting only the distinct ones).
The product of its (nonzero) digits is 1458, while the sum is 28.
The cubic root of 9000316900 is about 2080.1082367862.
Adding to 9000316900 its reverse (96130009), we get a palindrome (9096446909).
The spelling of 9000316900 in words is "nine billion, three hundred sixteen thousand, nine hundred".
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