Base | Representation |
---|---|
bin | 11011011100011… |
… | …11010101000000 |
3 | 121001012122121212 |
4 | 31232033111000 |
5 | 432414201331 |
6 | 34502305252 |
7 | 5463611354 |
oct | 1556172500 |
9 | 531178555 |
10 | 230225216 |
11 | 108a57681 |
12 | 65128228 |
13 | 3890a950 |
14 | 2280d464 |
15 | 15329d2b |
hex | db8f540 |
230225216 has 112 divisors (see below), whose sum is σ = 525377664. Its totient is φ = 99280896.
The previous prime is 230225213. The next prime is 230225221. The reversal of 230225216 is 612522032.
230225216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (23).
It is a junction number, because it is equal to n+sod(n) for n = 230225191 and 230225200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230225213) 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, 1014095 + ... + 1014321.
It is an arithmetic number, because the mean of its divisors is an integer number (4690872).
Almost surely, 2230225216 is an apocalyptic number.
230225216 is a gapful number since it is divisible by the number (26) 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 230225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262688832).
230225216 is an abundant number, since it is smaller than the sum of its proper divisors (295152448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230225216 is a wasteful number, since it uses less digits than its factorization.
230225216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 328 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 23.
The square root of 230225216 is about 15173.1742229502. The cubic root of 230225216 is about 612.8924851380.
Adding to 230225216 its reverse (612522032), we get a palindrome (842747248).
The spelling of 230225216 in words is "two hundred thirty million, two hundred twenty-five thousand, two hundred sixteen".
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