Base | Representation |
---|---|
bin | 11011110001101… |
… | …11101110011000 |
3 | 121020110020112112 |
4 | 31320313232120 |
5 | 434122341440 |
6 | 35042131452 |
7 | 5526366425 |
oct | 1570675630 |
9 | 536406475 |
10 | 233012120 |
11 | 10a590500 |
12 | 66050b88 |
13 | 393752c3 |
14 | 22d36d4c |
15 | 156ca965 |
hex | de37b98 |
233012120 has 96 divisors (see below), whose sum is σ = 595244160. Its totient is φ = 81945600.
The previous prime is 233012119. The next prime is 233012137. The reversal of 233012120 is 21210332.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 233012095 and 233012104.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149264 + ... + 150816.
It is an arithmetic number, because the mean of its divisors is an integer number (6200460).
Almost surely, 2233012120 is an apocalyptic number.
233012120 is a gapful number since it is divisible by the number (20) 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 233012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297622080).
233012120 is an abundant number, since it is smaller than the sum of its proper divisors (362232040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233012120 is a wasteful number, since it uses less digits than its factorization.
233012120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 233012120 is about 15264.7345211111. The cubic root of 233012120 is about 615.3556186818.
Adding to 233012120 its reverse (21210332), we get a palindrome (254222452).
The spelling of 233012120 in words is "two hundred thirty-three million, twelve thousand, one hundred twenty".
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