Base | Representation |
---|---|
bin | 11011110001111… |
… | …11000011000000 |
3 | 121020111202200100 |
4 | 31320333003000 |
5 | 434124321422 |
6 | 35042522400 |
7 | 5526553032 |
oct | 1570770300 |
9 | 536452610 |
10 | 233042112 |
11 | 10a600a96 |
12 | 66066400 |
13 | 39385b54 |
14 | 22d43c52 |
15 | 156d47ac |
hex | de3f0c0 |
233042112 has 126 divisors (see below), whose sum is σ = 690626508. Its totient is φ = 75091968.
The previous prime is 233042111. The next prime is 233042119. The reversal of 233042112 is 211240332.
233042112 is a `hidden beast` number, since 233 + 0 + 421 + 12 = 666.
233042112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (233042111) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2402448 + ... + 2402544.
Almost surely, 2233042112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345313254).
233042112 is an abundant number, since it is smaller than the sum of its proper divisors (457584396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233042112 is an equidigital number, since it uses as much as digits as its factorization.
233042112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 255 (or 145 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 233042112 is about 15265.7168845751. The cubic root of 233042112 is about 615.3820192455.
Adding to 233042112 its reverse (211240332), we get a palindrome (444282444).
The spelling of 233042112 in words is "two hundred thirty-three million, forty-two thousand, one hundred twelve".
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