Base | Representation |
---|---|
bin | 11011110010101… |
… | …00100101000000 |
3 | 121020200020122201 |
4 | 31321110211000 |
5 | 434140132204 |
6 | 35044442544 |
7 | 5530401121 |
oct | 1571244500 |
9 | 536606581 |
10 | 233130304 |
11 | 10a661280 |
12 | 660a9454 |
13 | 393b7034 |
14 | 22d68048 |
15 | 157009a4 |
hex | de54940 |
233130304 has 112 divisors (see below), whose sum is σ = 550468800. Its totient is φ = 96768000.
The previous prime is 233130269. The next prime is 233130329. The reversal of 233130304 is 403031332.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a congruent number.
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, 387604 + ... + 388204.
It is an arithmetic number, because the mean of its divisors is an integer number (4914900).
Almost surely, 2233130304 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 233130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275234400).
233130304 is an abundant number, since it is smaller than the sum of its proper divisors (317338496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233130304 is a wasteful number, since it uses less digits than its factorization.
233130304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 672 (or 662 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 19.
The square root of 233130304 is about 15268.6051753263. The cubic root of 233130304 is about 615.4596374434.
Adding to 233130304 its reverse (403031332), we get a palindrome (636161636).
The spelling of 233130304 in words is "two hundred thirty-three million, one hundred thirty thousand, three hundred four".
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