| Base | Representation |
|---|---|
| bin | 11011011101111… |
| … | …11001011010000 |
| 3 | 121001120121110112 |
| 4 | 31232333023100 |
| 5 | 432441434300 |
| 6 | 34510420452 |
| 7 | 5465355632 |
| oct | 1556771320 |
| 9 | 531517415 |
| 10 | 230421200 |
| 11 | 109080949 |
| 12 | 65201728 |
| 13 | 38978c09 |
| 14 | 22860a52 |
| 15 | 15367e35 |
| hex | dbbf2d0 |
230421200 has 60 divisors (see below), whose sum is σ = 568585260. Its totient is φ = 89671680.
The previous prime is 230421187. The next prime is 230421203. The reversal of 230421200 is 2124032.
It can be written as a sum of positive squares in 6 ways, for example, as 110224 + 230310976 = 332^2 + 15176^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230421203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7016 + ... + 22584.
It is an arithmetic number, because the mean of its divisors is an integer number (9476421).
Almost surely, 2230421200 is an apocalyptic number.
230421200 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 230421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284292630).
230421200 is an abundant number, since it is smaller than the sum of its proper divisors (338164060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230421200 is a wasteful number, since it uses less digits than its factorization.
230421200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15624 (or 15613 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 230421200 is about 15179.6310890614. The cubic root of 230421200 is about 613.0663483011.
Adding to 230421200 its reverse (2124032), we get a palindrome (232545232).
It can be divided in two parts, 23042 and 1200, that added together give a palindrome (24242).
The spelling of 230421200 in words is "two hundred thirty million, four hundred twenty-one thousand, two hundred".
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