Base | Representation |
---|---|
bin | 11011110011001… |
… | …10110101101100 |
3 | 121020211001020221 |
4 | 31321212311230 |
5 | 434200030400 |
6 | 35050221124 |
7 | 5531132152 |
oct | 1571466554 |
9 | 536731227 |
10 | 233205100 |
11 | 10a702497 |
12 | 661247a4 |
13 | 394120ab |
14 | 22d873d2 |
15 | 15717c1a |
hex | de66d6c |
233205100 has 36 divisors (see below), whose sum is σ = 512170344. Its totient is φ = 92154880.
The previous prime is 233205097. The next prime is 233205113. The reversal of 233205100 is 1502332.
233205100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 11 ways as a sum of consecutive naturals, for example, 5749 + ... + 22348.
It is an arithmetic number, because the mean of its divisors is an integer number (14226954).
Almost surely, 2233205100 is an apocalyptic number.
233205100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
233205100 is an abundant number, since it is smaller than the sum of its proper divisors (278965244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233205100 is a wasteful number, since it uses less digits than its factorization.
233205100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28194 (or 28187 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 233205100 is about 15271.0543185466. The cubic root of 233205100 is about 615.5254504187.
Adding to 233205100 its reverse (1502332), we get a palindrome (234707432).
The spelling of 233205100 in words is "two hundred thirty-three million, two hundred five thousand, one hundred".
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