Base | Representation |
---|---|
bin | 11100000011010… |
… | …01011111001100 |
3 | 121101210010220000 |
4 | 32001221133030 |
5 | 440220004400 |
6 | 35203324300 |
7 | 5555062011 |
oct | 1601513714 |
9 | 541703800 |
10 | 235313100 |
11 | 110912240 |
12 | 66980690 |
13 | 3999c729 |
14 | 23375708 |
15 | 159d2600 |
hex | e0697cc |
235313100 has 360 divisors, whose sum is σ = 882235200. Its totient is φ = 53654400.
The previous prime is 235313077. The next prime is 235313101. The reversal of 235313100 is 1313532.
235313100 is a `hidden beast` number, since 2 + 353 + 1 + 310 + 0 = 666.
235313100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2353131002 = 110744510063220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (235313101) by changing a digit.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1692831 + ... + 1692969.
Almost surely, 2235313100 is an apocalyptic number.
235313100 is a gapful number since it is divisible by the number (20) 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 235313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441117600).
235313100 is an abundant number, since it is smaller than the sum of its proper divisors (646922100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235313100 is a wasteful number, since it uses less digits than its factorization.
235313100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 195 (or 179 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 18.
The square root of 235313100 is about 15339.9185134733. The cubic root of 235313100 is about 617.3745203356.
Adding to 235313100 its reverse (1313532), we get a palindrome (236626632).
The spelling of 235313100 in words is "two hundred thirty-five million, three hundred thirteen thousand, one hundred".
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