Base | Representation |
---|---|
bin | 11011011101111… |
… | …11000100000000 |
3 | 121001120120211100 |
4 | 31232333010000 |
5 | 432441430421 |
6 | 34510414400 |
7 | 5465354400 |
oct | 1556770400 |
9 | 531516740 |
10 | 230420736 |
11 | 109080567 |
12 | 65201400 |
13 | 38978940 |
14 | 22860800 |
15 | 15367c26 |
hex | dbbf100 |
230420736 has 324 divisors, whose sum is σ = 837576012. Its totient is φ = 60383232.
The previous prime is 230420713. The next prime is 230420741. The reversal of 230420736 is 637024032.
230420736 is a `hidden beast` number, since 230 + 420 + 7 + 3 + 6 = 666.
230420736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 180633600 = 7056^2 + 13440^2 .
230420736 is a modest number, since divided by 20736 gives 2304 as remainder.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467570 + ... + 1467726.
Almost surely, 2230420736 is an apocalyptic number.
230420736 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 230420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418788006).
230420736 is an abundant number, since it is smaller than the sum of its proper divisors (607155276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230420736 is a wasteful number, since it uses less digits than its factorization.
230420736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 206 (or 182 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 230420736 is about 15179.6158054148. The cubic root of 230420736 is about 613.0659367895.
Adding to 230420736 its reverse (637024032), we get a palindrome (867444768).
It can be divided in two parts, 2304 and 20736, that multiplied together give a square (47775744 = 69122).
The spelling of 230420736 in words is "two hundred thirty million, four hundred twenty thousand, seven hundred thirty-six".
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