Base | Representation |
---|---|
bin | 11011011100010… |
… | …01101010110000 |
3 | 121001011110211012 |
4 | 31232021222300 |
5 | 432412431112 |
6 | 34502010052 |
7 | 5463453644 |
oct | 1556115260 |
9 | 531143735 |
10 | 230202032 |
11 | 108a41215 |
12 | 65116928 |
13 | 38900228 |
14 | 22804c24 |
15 | 15323022 |
hex | db89ab0 |
230202032 has 80 divisors (see below), whose sum is σ = 509110272. Its totient is φ = 100193280.
The previous prime is 230202023. The next prime is 230202053.
230202032 is nontrivially palindromic in base 10.
230202032 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 = 230201998 and 230202016.
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, 193343 + ... + 194529.
Almost surely, 2230202032 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 230202032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254555136).
230202032 is an abundant number, since it is smaller than the sum of its proper divisors (278908240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230202032 is a wasteful number, since it uses less digits than its factorization.
230202032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
The square root of 230202032 is about 15172.4102238240. The cubic root of 230202032 is about 612.8719114050.
It can be divided in two parts, 23020 and 2032, that added together give a palindrome (25052).
The spelling of 230202032 in words is "two hundred thirty million, two hundred two thousand, thirty-two".
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