Base | Representation |
---|---|
bin | 11011110100000… |
… | …11101011100000 |
3 | 121021001001022012 |
4 | 31322003223200 |
5 | 434212320412 |
6 | 35052532052 |
7 | 5532133442 |
oct | 1572035340 |
9 | 537031265 |
10 | 233323232 |
11 | 10a78321a |
12 | 66181028 |
13 | 39453aac |
14 | 22db8492 |
15 | 1573cc22 |
hex | de83ae0 |
233323232 has 48 divisors (see below), whose sum is σ = 487982880. Its totient is φ = 109436928.
The previous prime is 233323213. The next prime is 233323243. The reversal of 233323232 is 232323332.
233323232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 233323198 and 233323207.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238328 + ... + 239304.
It is an arithmetic number, because the mean of its divisors is an integer number (10166310).
Almost surely, 2233323232 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 233323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243991440).
233323232 is an abundant number, since it is smaller than the sum of its proper divisors (254659648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233323232 is a wasteful number, since it uses less digits than its factorization.
233323232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1443 (or 1435 counting only the distinct ones).
The product of its digits is 3888, while the sum is 23.
The square root of 233323232 is about 15274.9216691936. The cubic root of 233323232 is about 615.6293660680.
Adding to 233323232 its reverse (232323332), we get a palindrome (465646564).
The spelling of 233323232 in words is "two hundred thirty-three million, three hundred twenty-three thousand, two hundred thirty-two".
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