Base | Representation |
---|---|
bin | 1101100010110000100… |
… | …1010010011010111000 |
3 | 211020120002112001002000 |
4 | 3120230021102122320 |
5 | 12303001212204412 |
6 | 254515301141000 |
7 | 22544515505655 |
oct | 3305411223270 |
9 | 736502461060 |
10 | 232668866232 |
11 | 8a746566a00 |
12 | 391143ba760 |
13 | 18c2c5b995a |
14 | b392b76c2c |
15 | 60bb5334dc |
hex | 362c2526b8 |
232668866232 has 384 divisors, whose sum is σ = 772570612800. Its totient is φ = 64560291840.
The previous prime is 232668866189. The next prime is 232668866251.
232668866232 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 6 + 8 + 8 + 6 + 623 + 2 = 666.
232668866232 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16432468 + ... + 16446620.
Almost surely, 2232668866232 is an apocalyptic number.
232668866232 is a gapful number since it is divisible by the number (22) 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 232668866232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386285306400).
232668866232 is an abundant number, since it is smaller than the sum of its proper divisors (539901746568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232668866232 is a wasteful number, since it uses less digits than its factorization.
232668866232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14244 (or 14223 counting only the distinct ones).
The product of its digits is 11943936, while the sum is 54.
The spelling of 232668866232 in words is "two hundred thirty-two billion, six hundred sixty-eight million, eight hundred sixty-six thousand, two hundred thirty-two".
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