Base | Representation |
---|---|
bin | 100001100000000111001… |
… | …100111011111010111100 |
3 | 22011002102220022100011000 |
4 | 201200013030323322330 |
5 | 300204423131133312 |
6 | 4521343215130300 |
7 | 325221145121412 |
oct | 41400714737274 |
9 | 8132386270130 |
10 | 2302223302332 |
11 | 808405043028 |
12 | 312229b13990 |
13 | 139138b92b95 |
14 | 7d5dcdb72b2 |
15 | 3ed4595cadc |
hex | 2180733bebc |
2302223302332 has 96 divisors (see below), whose sum is σ = 6067539777600. Its totient is φ = 754707283200.
The previous prime is 2302223302331. The next prime is 2302223302333. The reversal of 2302223302332 is 2332033222032.
2302223302332 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 2 + 23 + 302 + 332 = 666.
2302223302332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2302223302331) and next prime (2302223302333).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2302223302296 and 2302223302305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2302223302331) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47600482 + ... + 47648822.
It is an arithmetic number, because the mean of its divisors is an integer number (63203539350).
Almost surely, 22302223302332 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 2302223302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033769888800).
2302223302332 is an abundant number, since it is smaller than the sum of its proper divisors (3765316475268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2302223302332 is a wasteful number, since it uses less digits than its factorization.
2302223302332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55644 (or 55636 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 27.
Adding to 2302223302332 its reverse (2332033222032), we get a palindrome (4634256524364).
The spelling of 2302223302332 in words is "two trillion, three hundred two billion, two hundred twenty-three million, three hundred two thousand, three hundred thirty-two".
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