Base | Representation |
---|---|
bin | 10101100100011111… |
… | …100110000000000000 |
3 | 2012210010012120212000 |
4 | 111210133212000000 |
5 | 334413133341232 |
6 | 14350121104000 |
7 | 1446642615300 |
oct | 254437460000 |
9 | 65703176760 |
10 | 23160840192 |
11 | 9905766046 |
12 | 45a4628000 |
13 | 22514b5189 |
14 | 1199dd9600 |
15 | 9084d127c |
hex | 5647e6000 |
23160840192 has 336 divisors, whose sum is σ = 79861227120. Its totient is φ = 6614286336.
The previous prime is 23160840133. The next prime is 23160840193. The reversal of 23160840192 is 29104806132.
23160840192 is a `hidden beast` number, since 2 + 3 + 1 + 608 + 40 + 1 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23160840193) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10836948 + ... + 10839084.
Almost surely, 223160840192 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 23160840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39930613560).
23160840192 is an abundant number, since it is smaller than the sum of its proper divisors (56700386928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23160840192 is an equidigital number, since it uses as much as digits as its factorization.
23160840192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2186 (or 2149 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The spelling of 23160840192 in words is "twenty-three billion, one hundred sixty million, eight hundred forty thousand, one hundred ninety-two".
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