Base | Representation |
---|---|
bin | 111011101011001… |
… | …0010110111000010 |
3 | 12011112202001200000 |
4 | 1313112102313002 |
5 | 13100044124442 |
6 | 530404540430 |
7 | 100422356616 |
oct | 16726226702 |
9 | 5145661600 |
10 | 2002333122 |
11 | 9382a0569 |
12 | 47a6b1716 |
13 | 25bab32ca |
14 | 14dd05346 |
15 | babc3d4c |
hex | 77592dc2 |
2002333122 has 48 divisors (see below), whose sum is σ = 4510265760. Its totient is φ = 665783712.
The previous prime is 2002333087. The next prime is 2002333127. The reversal of 2002333122 is 2213332002.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2002333095 and 2002333104.
It is not an unprimeable number, because it can be changed into a prime (2002333127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198718 + ... + 208550.
It is an arithmetic number, because the mean of its divisors is an integer number (93963870).
Almost surely, 22002333122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002333122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255132880).
2002333122 is an abundant number, since it is smaller than the sum of its proper divisors (2507932638).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002333122 is an equidigital number, since it uses as much as digits as its factorization.
2002333122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10269 (or 10257 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 2002333122 is about 44747.4370439246. The cubic root of 2002333122 is about 1260.4107844291.
Adding to 2002333122 its reverse (2213332002), we get a palindrome (4215665124).
The spelling of 2002333122 in words is "two billion, two million, three hundred thirty-three thousand, one hundred twenty-two".
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