Base | Representation |
---|---|
bin | 10111100110111… |
… | …00011100000000 |
3 | 111210122020020001 |
4 | 23303130130000 |
5 | 401144111300 |
6 | 31352325344 |
7 | 4623162046 |
oct | 1363343400 |
9 | 453566201 |
10 | 198035200 |
11 | a1870860 |
12 | 563a3854 |
13 | 32049bbc |
14 | 1c430396 |
15 | 125bc16a |
hex | bcdc700 |
198035200 has 216 divisors, whose sum is σ = 558870480. Its totient is φ = 68812800.
The previous prime is 198035197. The next prime is 198035209. The reversal of 198035200 is 2530891.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (198035209) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 2041552 + ... + 2041648.
Almost surely, 2198035200 is an apocalyptic number.
198035200 is a gapful number since it is divisible by the number (10) 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 198035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279435240).
198035200 is an abundant number, since it is smaller than the sum of its proper divisors (360835280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198035200 is a wasteful number, since it uses less digits than its factorization.
198035200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 144 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 28.
The square root of 198035200 is about 14072.4980014211. The cubic root of 198035200 is about 582.8822053997.
The spelling of 198035200 in words is "one hundred ninety-eight million, thirty-five thousand, two hundred".
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