Base | Representation |
---|---|
bin | 11011110100000… |
… | …11101001101000 |
3 | 121021001001010202 |
4 | 31322003221220 |
5 | 434212314422 |
6 | 35052531332 |
7 | 5532133211 |
oct | 1572035150 |
9 | 537031122 |
10 | 233323112 |
11 | 10a783120 |
12 | 66180b48 |
13 | 39453a19 |
14 | 22db8408 |
15 | 1573cb92 |
hex | de83a68 |
233323112 has 64 divisors (see below), whose sum is σ = 498700800. Its totient is φ = 101481600.
The previous prime is 233323091. The next prime is 233323127. The reversal of 233323112 is 211323332.
233323112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621564 + ... + 2621652.
It is an arithmetic number, because the mean of its divisors is an integer number (7792200).
Almost surely, 2233323112 is an apocalyptic number.
233323112 is a gapful number since it is divisible by the number (22) 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 233323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249350400).
233323112 is an abundant number, since it is smaller than the sum of its proper divisors (265377688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233323112 is an equidigital number, since it uses as much as digits as its factorization.
233323112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 199 (or 133 counting only the distinct ones).
The product of its digits is 648, while the sum is 20.
The square root of 233323112 is about 15274.9177411860. The cubic root of 233323112 is about 615.6292605269.
Adding to 233323112 its reverse (211323332), we get a palindrome (444646444).
The spelling of 233323112 in words is "two hundred thirty-three million, three hundred twenty-three thousand, one hundred twelve".
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