Base | Representation |
---|---|
bin | 11011110011010… |
… | …00010110110000 |
3 | 121020211100210000 |
4 | 31321220112300 |
5 | 434200230222 |
6 | 35050310000 |
7 | 5531156235 |
oct | 1571502660 |
9 | 536740700 |
10 | 233211312 |
11 | 10a707124 |
12 | 66128300 |
13 | 39414b79 |
14 | 22d8978c |
15 | 157199ac |
hex | de685b0 |
233211312 has 50 divisors (see below), whose sum is σ = 674984948. Its totient is φ = 77736672.
The previous prime is 233211311. The next prime is 233211343. The reversal of 233211312 is 213112332.
233211312 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 2×2332113122 = 108775032089522688, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (233211311) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 88678 + ... + 91269.
Almost surely, 2233211312 is an apocalyptic number.
It is an amenable number.
233211312 is an abundant number, since it is smaller than the sum of its proper divisors (441773636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233211312 is a wasteful number, since it uses less digits than its factorization.
233211312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 179967 (or 179952 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 233211312 is about 15271.2577085190. The cubic root of 233211312 is about 615.5309157225.
Adding to 233211312 its reverse (213112332), we get a palindrome (446323644).
The spelling of 233211312 in words is "two hundred thirty-three million, two hundred eleven thousand, three hundred twelve".
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