Base | Representation |
---|---|
bin | 11011011100010… |
… | …00000000000000 |
3 | 121001011010110011 |
4 | 31232020000000 |
5 | 432412221300 |
6 | 34501514304 |
7 | 5463425014 |
oct | 1556100000 |
9 | 531133404 |
10 | 230195200 |
11 | 108a37074 |
12 | 65112994 |
13 | 388ca0a1 |
14 | 22802544 |
15 | 15320eba |
hex | db88000 |
230195200 has 96 divisors (see below), whose sum is σ = 572906970. Its totient is φ = 91750400.
The previous prime is 230195191. The next prime is 230195227. The reversal of 230195200 is 2591032.
It can be written as a sum of positive squares in 3 ways, for example, as 187580416 + 42614784 = 13696^2 + 6528^2 .
It is a nialpdrome in base 16.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819060 + ... + 819340.
Almost surely, 2230195200 is an apocalyptic number.
230195200 is a gapful number since it is divisible by the number (20) 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 230195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286453485).
230195200 is an abundant number, since it is smaller than the sum of its proper divisors (342711770).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230195200 is an frugal number, since it uses more digits than its factorization.
230195200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 321 (or 288 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 22.
The square root of 230195200 is about 15172.1850766460. The cubic root of 230195200 is about 612.8658483506.
The spelling of 230195200 in words is "two hundred thirty million, one hundred ninety-five thousand, two hundred".
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