Base | Representation |
---|---|
bin | 11011101010000… |
… | …01001100001000 |
3 | 121011112221100020 |
4 | 31311001030020 |
5 | 433343033222 |
6 | 35004340440 |
7 | 5514662403 |
oct | 1565011410 |
9 | 534487306 |
10 | 232002312 |
11 | 109a60853 |
12 | 65844720 |
13 | 390b0799 |
14 | 22b52d3a |
15 | 1557b65c |
hex | dd41308 |
232002312 has 64 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 72936000.
The previous prime is 232002283. The next prime is 232002317. The reversal of 232002312 is 213200232.
It is a junction number, because it is equal to n+sod(n) for n = 232002291 and 232002300.
It is not an unprimeable number, because it can be changed into a prime (232002317) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113443 + ... + 115469.
It is an arithmetic number, because the mean of its divisors is an integer number (9582300).
Almost surely, 2232002312 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 232002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).
232002312 is an abundant number, since it is smaller than the sum of its proper divisors (381264888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232002312 is a wasteful number, since it uses less digits than its factorization.
232002312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2306 (or 2302 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 232002312 is about 15231.6221066569. The cubic root of 232002312 is about 614.4654062788.
Adding to 232002312 its reverse (213200232), we get a palindrome (445202544).
The spelling of 232002312 in words is "two hundred thirty-two million, two thousand, three hundred twelve".
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