Search a number
-
+
230930336 = 25721311329
BaseRepresentation
bin11011100001110…
…11011110100000
3121002112110212102
431300323132200
5433104232321
634525345532
75502606200
oct1560733640
9532473772
10230930336
1110939941a
12654082a8
1338ac6890
1422954400
1515418c0b
hexdc3b7a0

230930336 has 72 divisors (see below), whose sum is σ = 569604420. Its totient is φ = 91348992.

The previous prime is 230930333. The next prime is 230930387. The reversal of 230930336 is 633039032.

It can be written as a sum of positive squares in 2 ways, for example, as 214446736 + 16483600 = 14644^2 + 4060^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 230930299 and 230930308.

It is not an unprimeable number, because it can be changed into a prime (230930333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14720 + ... + 26048.

Almost surely, 2230930336 is an apocalyptic number.

230930336 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 230930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284802210).

230930336 is an abundant number, since it is smaller than the sum of its proper divisors (338674084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230930336 is a wasteful number, since it uses less digits than its factorization.

230930336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11351 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

The square root of 230930336 is about 15196.3922034146. The cubic root of 230930336 is about 613.5175575563.

Adding to 230930336 its reverse (633039032), we get a palindrome (863969368).

The spelling of 230930336 in words is "two hundred thirty million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 10192 11329 20384 22658 45316 79303 90632 147277 158606 181264 294554 317212 362528 555121 589108 634424 1030939 1110242 1178216 1268848 2061878 2220484 2356432 2537696 4123756 4440968 4712864 7216573 8247512 8881936 14433146 16495024 17763872 28866292 32990048 57732584 115465168 230930336