Base | Representation |
---|---|
bin | 1000101001110110… |
… | …1010111000100000 |
3 | 12222220012100001200 |
4 | 2022131222320200 |
5 | 14224144034012 |
6 | 1022302401200 |
7 | 111365313543 |
oct | 21235527040 |
9 | 5886170050 |
10 | 2323033632 |
11 | a92323607 |
12 | 549b90200 |
13 | 2b037b31a |
14 | 18074685a |
15 | d8e213dc |
hex | 8a76ae20 |
2323033632 has 144 divisors (see below), whose sum is σ = 7194096000. Its totient is φ = 708244992.
The previous prime is 2323033621. The next prime is 2323033673. The reversal of 2323033632 is 2363303232.
2323033632 is a `hidden beast` number, since 2 + 3 + 23 + 0 + 3 + 3 + 632 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×23230336322 = 10792970510806222848, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2323033596 and 2323033605.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151369 + ... + 166007.
It is an arithmetic number, because the mean of its divisors is an integer number (49959000).
Almost surely, 22323033632 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 2323033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597048000).
2323033632 is an abundant number, since it is smaller than the sum of its proper divisors (4871062368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2323033632 is a wasteful number, since it uses less digits than its factorization.
2323033632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14703 (or 14692 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
The square root of 2323033632 is about 48197.8592055705. The cubic root of 2323033632 is about 1324.3979478177.
Adding to 2323033632 its reverse (2363303232), we get a palindrome (4686336864).
The spelling of 2323033632 in words is "two billion, three hundred twenty-three million, thirty-three thousand, six hundred thirty-two".
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