Base | Representation |
---|---|
bin | 111011101011001… |
… | …0010111010000000 |
3 | 12011112202001221001 |
4 | 1313112102322000 |
5 | 13100044131222 |
6 | 530404541344 |
7 | 100422360310 |
oct | 16726227200 |
9 | 5145661831 |
10 | 2002333312 |
11 | 9382a0721 |
12 | 47a6b1854 |
13 | 25bab3415 |
14 | 14dd05440 |
15 | babc3e27 |
hex | 77592e80 |
2002333312 has 64 divisors (see below), whose sum is σ = 4582900800. Its totient is φ = 853622784.
The previous prime is 2002333301. The next prime is 2002333331. The reversal of 2002333312 is 2133332002.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (64).
It is a self number, because there is not a number n which added to its sum of digits gives 2002333312.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167139 + ... + 178717.
It is an arithmetic number, because the mean of its divisors is an integer number (71607825).
Almost surely, 22002333312 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 2002333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291450400).
2002333312 is an abundant number, since it is smaller than the sum of its proper divisors (2580567488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002333312 is a wasteful number, since it uses less digits than its factorization.
2002333312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11793 (or 11781 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 19.
The square root of 2002333312 is about 44747.4391669512. The cubic root of 2002333312 is about 1260.4108242956.
Adding to 2002333312 its reverse (2133332002), we get a palindrome (4135665314).
It can be divided in two parts, 20023 and 33312, that added together give a palindrome (53335).
The spelling of 2002333312 in words is "two billion, two million, three hundred thirty-three thousand, three hundred twelve".
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