Base | Representation |
---|---|
bin | 11011011110110… |
… | …01000101000000 |
3 | 121001210000000000 |
4 | 31233121011000 |
5 | 433003333141 |
6 | 34513000000 |
7 | 5466310146 |
oct | 1557310500 |
9 | 531700000 |
10 | 230527296 |
11 | 10914362a |
12 | 65253000 |
13 | 389b52ac |
14 | 2288b596 |
15 | 153895b6 |
hex | dbd9140 |
230527296 has 154 divisors (see below), whose sum is σ = 697423802. Its totient is φ = 75582720.
The previous prime is 230527291. The next prime is 230527303. The reversal of 230527296 is 692725032.
It can be written as a sum of positive squares in only one way, i.e., 136048896 + 94478400 = 11664^2 + 9720^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between even and odd.
It is a self number, because there is not a number n which added to its sum of digits gives 230527296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (230527291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 3779106 + ... + 3779166.
Almost surely, 2230527296 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230527296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348711901).
230527296 is an abundant number, since it is smaller than the sum of its proper divisors (466896506).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230527296 is an frugal number, since it uses more digits than its factorization.
230527296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 103 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The square root of 230527296 is about 15183.1253699625. The cubic root of 230527296 is about 613.1604280513.
The spelling of 230527296 in words is "two hundred thirty million, five hundred twenty-seven thousand, two hundred ninety-six".
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