| Base | Representation |
|---|---|
| bin | 10111011110011… |
| … | …00111100100000 |
| 3 | 111201112201210200 |
| 4 | 23233030330200 |
| 5 | 400403020133 |
| 6 | 31312425200 |
| 7 | 4610551011 |
| oct | 1357147440 |
| 9 | 451481720 |
| 10 | 196923168 |
| 11 | a1181322 |
| 12 | 55b48200 |
| 13 | 31a4a9b0 |
| 14 | 1c221008 |
| 15 | 1244c913 |
| hex | bbccf20 |
196923168 has 144 divisors (see below), whose sum is σ = 608844600. Its totient is φ = 60014592.
The previous prime is 196923151. The next prime is 196923169. The reversal of 196923168 is 861329691.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 85155984 + 111767184 = 9228^2 + 10572^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-3 number, since 3×1969231683 (a number of 26 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (196923169) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 557680 + ... + 558032.
Almost surely, 2196923168 is an apocalyptic number.
196923168 is a gapful number since it is divisible by the number (18) 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 196923168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304422300).
196923168 is an abundant number, since it is smaller than the sum of its proper divisors (411921432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
196923168 is a wasteful number, since it uses less digits than its factorization.
196923168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 531 (or 520 counting only the distinct ones).
The product of its digits is 139968, while the sum is 45.
The square root of 196923168 is about 14032.9315540268. The cubic root of 196923168 is about 581.7891325222.
The spelling of 196923168 in words is "one hundred ninety-six million, nine hundred twenty-three thousand, one hundred sixty-eight".
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