Base | Representation |
---|---|
bin | 11011011100001… |
… | …01010010010000 |
3 | 121001010120012022 |
4 | 31232011102100 |
5 | 432411342310 |
6 | 34501351012 |
7 | 5463350420 |
oct | 1556052220 |
9 | 531116168 |
10 | 230184080 |
11 | 108a29785 |
12 | 65108468 |
13 | 388c4cc9 |
14 | 227dc480 |
15 | 1531ca55 |
hex | db85490 |
230184080 has 80 divisors (see below), whose sum is σ = 647637120. Its totient is φ = 74274816.
The previous prime is 230184079. The next prime is 230184089. The reversal of 230184080 is 80481032.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (230184089) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2570 + ... + 21609.
It is an arithmetic number, because the mean of its divisors is an integer number (8095464).
Almost surely, 2230184080 is an apocalyptic number.
230184080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230184080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323818560).
230184080 is an abundant number, since it is smaller than the sum of its proper divisors (417453040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230184080 is a wasteful number, since it uses less digits than its factorization.
230184080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24216 (or 24210 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 26.
The square root of 230184080 is about 15171.8186121506. The cubic root of 230184080 is about 612.8559796566.
The spelling of 230184080 in words is "two hundred thirty million, one hundred eighty-four thousand, eighty".
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