Base | Representation |
---|---|
bin | 10101100011010111… |
… | …000101011000000000 |
3 | 2012201210102212210000 |
4 | 111203113011120000 |
5 | 334343302112232 |
6 | 14344201440000 |
7 | 1446322220343 |
oct | 254327053000 |
9 | 65653385700 |
10 | 23141832192 |
11 | 98a5a63056 |
12 | 459a1a0000 |
13 | 224a58b43b |
14 | 119768c45a |
15 | 9069c927c |
hex | 5635c5600 |
23141832192 has 400 divisors, whose sum is σ = 74507463360. Its totient is φ = 7127543808.
The previous prime is 23141832167. The next prime is 23141832193. The reversal of 23141832192 is 29123814132.
23141832192 is a `hidden beast` number, since 2 + 314 + 18 + 321 + 9 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23141832193) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33882283 + ... + 33882965.
Almost surely, 223141832192 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 23141832192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37253731680).
23141832192 is an abundant number, since it is smaller than the sum of its proper divisors (51365631168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23141832192 is an equidigital number, since it uses as much as digits as its factorization.
23141832192 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 775 (or 750 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The spelling of 23141832192 in words is "twenty-three billion, one hundred forty-one million, eight hundred thirty-two thousand, one hundred ninety-two".
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