Search a number
-
+
230644512 = 25327114407
BaseRepresentation
bin11011011111101…
…01101100100000
3121001222221210100
431233311230200
5433021111022
634515302400
75500305660
oct1557655440
9531887710
10230644512
111092136aa
12652aaa00
1338a26757
14228bc1a0
15153ae1ac
hexdbf5b20

230644512 has 72 divisors (see below), whose sum is σ = 749601216. Its totient is φ = 65897856.

The previous prime is 230644489. The next prime is 230644549. The reversal of 230644512 is 215446032.

230644512 is a `hidden beast` number, since 2 + 3 + 0 + 644 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×2306445123 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55188 + ... + 59219.

It is an arithmetic number, because the mean of its divisors is an integer number (10411128).

Almost surely, 2230644512 is an apocalyptic number.

It is an amenable number.

230644512 is an abundant number, since it is smaller than the sum of its proper divisors (518956704).

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

230644512 is a wasteful number, since it uses less digits than its factorization.

230644512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114430 (or 114419 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230644512 is about 15186.9849542297. The cubic root of 230644512 is about 613.2643348132.

The spelling of 230644512 in words is "two hundred thirty million, six hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 114407 228814 343221 457628 686442 800849 915256 1029663 1372884 1601698 1830512 2059326 2402547 2745768 3203396 3661024 4118652 4805094 5491536 6406792 7207641 8237304 9610188 10983072 12813584 14415282 16474608 19220376 25627168 28830564 32949216 38440752 57661128 76881504 115322256 230644512