Base | Representation |
---|---|
bin | 11011011011110… |
… | …11000100010000 |
3 | 121001001102210002 |
4 | 31231323010100 |
5 | 432404022344 |
6 | 34500425132 |
7 | 5463114404 |
oct | 1555730420 |
9 | 531042702 |
10 | 230142224 |
11 | 108a00294 |
12 | 650a81a8 |
13 | 388abc40 |
14 | 227cb104 |
15 | 1531044e |
hex | db7b110 |
230142224 has 40 divisors (see below), whose sum is σ = 482932632. Its totient is φ = 105615360.
The previous prime is 230142197. The next prime is 230142281. The reversal of 230142224 is 422241032.
230142224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 3097600 + 227044624 = 1760^2 + 15068^2 .
It is a junction number, because it is equal to n+sod(n) for n = 230142196 and 230142205.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34592 + ... + 40704.
Almost surely, 2230142224 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 230142224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241466316).
230142224 is an abundant number, since it is smaller than the sum of its proper divisors (252790408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230142224 is a wasteful number, since it uses less digits than its factorization.
230142224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6315 (or 6309 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 230142224 is about 15170.4391498730. The cubic root of 230142224 is about 612.8188307584.
Adding to 230142224 its reverse (422241032), we get a palindrome (652383256).
The spelling of 230142224 in words is "two hundred thirty million, one hundred forty-two thousand, two hundred twenty-four".
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