Base | Representation |
---|---|
bin | 11011011010111… |
… | …10100001100000 |
3 | 121000211111102000 |
4 | 31231132201200 |
5 | 432341302222 |
6 | 34454124000 |
7 | 5462116506 |
oct | 1555364140 |
9 | 530744360 |
10 | 230025312 |
11 | 108930470 |
12 | 65050600 |
13 | 3886a96a |
14 | 2279a676 |
15 | 152da9ac |
hex | db5e860 |
230025312 has 96 divisors (see below), whose sum is σ = 731928960. Its totient is φ = 69701760.
The previous prime is 230025307. The next prime is 230025319. The reversal of 230025312 is 213520032.
230025312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230025319) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598 + ... + 21605.
It is an arithmetic number, because the mean of its divisors is an integer number (7624260).
Almost surely, 2230025312 is an apocalyptic number.
230025312 is a gapful number since it is divisible by the number (22) 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 230025312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365964480).
230025312 is an abundant number, since it is smaller than the sum of its proper divisors (501903648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230025312 is a wasteful number, since it uses less digits than its factorization.
230025312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24233 (or 24219 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 230025312 is about 15166.5853770715. The cubic root of 230025312 is about 612.7150427480.
Adding to 230025312 its reverse (213520032), we get a palindrome (443545344).
The spelling of 230025312 in words is "two hundred thirty million, twenty-five thousand, three hundred twelve".
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