Base | Representation |
---|---|
bin | 11011110011001… |
… | …00101001000000 |
3 | 121020210120220110 |
4 | 31321210221000 |
5 | 434144233341 |
6 | 35050111320 |
7 | 5531064000 |
oct | 1571445100 |
9 | 536716813 |
10 | 233196096 |
11 | 10a6a6751 |
12 | 6611b540 |
13 | 3940ac73 |
14 | 22d84000 |
15 | 15715216 |
hex | de64a40 |
233196096 has 112 divisors (see below), whose sum is σ = 719734400. Its totient is φ = 66608640.
The previous prime is 233196083. The next prime is 233196097. The reversal of 233196096 is 690691332.
233196096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (233196097) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64086 + ... + 67626.
It is an arithmetic number, because the mean of its divisors is an integer number (6426200).
Almost surely, 2233196096 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 233196096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359867200).
233196096 is an abundant number, since it is smaller than the sum of its proper divisors (486538304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233196096 is an equidigital number, since it uses as much as digits as its factorization.
233196096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3577 (or 3553 counting only the distinct ones).
The product of its (nonzero) digits is 52488, while the sum is 39.
The square root of 233196096 is about 15270.7595095987. The cubic root of 233196096 is about 615.5175285472.
The spelling of 233196096 in words is "two hundred thirty-three million, one hundred ninety-six thousand, ninety-six".
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