Base | Representation |
---|---|
bin | 100001011110010000100… |
… | …101110011001000100000 |
3 | 22010220022012211022222200 |
4 | 201132100211303020200 |
5 | 300141334213044412 |
6 | 4520413531133200 |
7 | 325120632466404 |
oct | 41362045631040 |
9 | 8126265738880 |
10 | 2300233331232 |
11 | 807583826311 |
12 | 3119735a4200 |
13 | 138bac81a5a5 |
14 | 7d4909ad104 |
15 | 3ec7adcb9dc |
hex | 21790973220 |
2300233331232 has 36 divisors (see below), whose sum is σ = 6541288536510. Its totient is φ = 766744443648.
The previous prime is 2300233331161. The next prime is 2300233331239. The reversal of 2300233331232 is 2321333320032.
2300233331232 is a `hidden beast` number, since 2 + 300 + 2 + 3 + 3 + 331 + 23 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1817869744656 + 482363586576 = 1348284^2 + 694524^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×23002333312323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2300233331196 and 2300233331205.
It is not an unprimeable number, because it can be changed into a prime (2300233331239) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3993460357 + ... + 3993460932.
Almost surely, 22300233331232 is an apocalyptic number.
It is an amenable number.
2300233331232 is an abundant number, since it is smaller than the sum of its proper divisors (4241055205278).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300233331232 is a wasteful number, since it uses less digits than its factorization.
2300233331232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7986921305 (or 7986921294 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
Adding to 2300233331232 its reverse (2321333320032), we get a palindrome (4621566651264).
The spelling of 2300233331232 in words is "two trillion, three hundred billion, two hundred thirty-three million, three hundred thirty-one thousand, two hundred thirty-two".
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