| Base | Representation |
|---|---|
| bin | 10111110100000… |
| … | …11101110001000 |
| 3 | 111220220022111200 |
| 4 | 23322003232020 |
| 5 | 402120101333 |
| 6 | 31453424200 |
| 7 | 4644002550 |
| oct | 1372035610 |
| 9 | 456808450 |
| 10 | 199768968 |
| 11 | a2845423 |
| 12 | 56a9b060 |
| 13 | 325060b9 |
| 14 | 1c762160 |
| 15 | 12810c13 |
| hex | be83b88 |
199768968 has 96 divisors (see below), whose sum is σ = 623400960. Its totient is φ = 56609280.
The previous prime is 199768967. The next prime is 199768969. The reversal of 199768968 is 869867991.
199768968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (199768967) and next prime (199768969).
It is a Harshad number since it is a multiple of its sum of digits (63).
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 (199768963) 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, 62448 + ... + 65568.
It is an arithmetic number, because the mean of its divisors is an integer number (6493760).
Almost surely, 2199768968 is an apocalyptic number.
199768968 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 199768968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311700480).
199768968 is an abundant number, since it is smaller than the sum of its proper divisors (423631992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
199768968 is a wasteful number, since it uses less digits than its factorization.
199768968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3267 (or 3260 counting only the distinct ones).
The product of its digits is 11757312, while the sum is 63.
The square root of 199768968 is about 14133.9650487752. The cubic root of 199768968 is about 584.5782803250.
The spelling of 199768968 in words is "one hundred ninety-nine million, seven hundred sixty-eight thousand, nine hundred sixty-eight".
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