Base | Representation |
---|---|
bin | 11011011110100… |
… | …10111100000000 |
3 | 121001201201111110 |
4 | 31233102330000 |
5 | 433002032034 |
6 | 34512243320 |
7 | 5466143625 |
oct | 1557227400 |
9 | 531651443 |
10 | 230502144 |
11 | 109126744 |
12 | 65240540 |
13 | 389a6a02 |
14 | 2288234c |
15 | 15381de9 |
hex | dbd2f00 |
230502144 has 72 divisors (see below), whose sum is σ = 623992320. Its totient is φ = 75516928.
The previous prime is 230502137. The next prime is 230502157. The reversal of 230502144 is 441205032.
230502144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 230502144.
It is a congruent number.
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, 42769 + ... + 47855.
It is an arithmetic number, because the mean of its divisors is an integer number (8666560).
Almost surely, 2230502144 is an apocalyptic number.
230502144 is a gapful number since it is divisible by the number (24) 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 230502144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311996160).
230502144 is an abundant number, since it is smaller than the sum of its proper divisors (393490176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230502144 is an equidigital number, since it uses as much as digits as its factorization.
230502144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5165 (or 5151 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 21.
The square root of 230502144 is about 15182.2970594044. The cubic root of 230502144 is about 613.1381273342.
Adding to 230502144 its reverse (441205032), we get a palindrome (671707176).
The spelling of 230502144 in words is "two hundred thirty million, five hundred two thousand, one hundred forty-four".
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