Base | Representation |
---|---|
bin | 10111101111110… |
… | …10000010000000 |
3 | 111212211122212200 |
4 | 23313322002000 |
5 | 401444024432 |
6 | 31433353200 |
7 | 4636133400 |
oct | 1367720200 |
9 | 455748780 |
10 | 199204992 |
11 | a249a728 |
12 | 56868800 |
13 | 3236949c |
14 | 1c656800 |
15 | 1274da7c |
hex | bdfa080 |
199204992 has 144 divisors (see below), whose sum is σ = 667011150. Its totient is φ = 56899584.
The previous prime is 199204979. The next prime is 199205011. The reversal of 199204992 is 299402991.
It can be written as a sum of positive squares in only one way, i.e., 194435136 + 4769856 = 13944^2 + 2184^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
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 17 ways as a sum of consecutive naturals, for example, 54684 + ... + 58212.
Almost surely, 2199204992 is an apocalyptic number.
199204992 is a gapful number since it is divisible by the number (12) 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 199204992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333505575).
199204992 is an abundant number, since it is smaller than the sum of its proper divisors (467806158).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
199204992 is a wasteful number, since it uses less digits than its factorization.
199204992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3563 (or 3541 counting only the distinct ones).
The product of its (nonzero) digits is 104976, while the sum is 45.
The square root of 199204992 is about 14113.9998582967. Note that the first 3 decimals coincide. The cubic root of 199204992 is about 584.0276461548.
The spelling of 199204992 in words is "one hundred ninety-nine million, two hundred four thousand, nine hundred ninety-two".
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