Search a number
-
+
230716332 = 223271183231
BaseRepresentation
bin11011100000001…
…11001110101100
3121002010121022100
431300013032230
5433030410312
634521015100
75501025240
oct1560071654
9532117270
10230716332
11109262660
1265324490
1338a50352
14228da420
15153c55dc
hexdc073ac

230716332 has 72 divisors (see below), whose sum is σ = 727114752. Its totient is φ = 59925600.

The previous prime is 230716327. The next prime is 230716351. The reversal of 230716332 is 233617032.

230716332 is a `hidden beast` number, since 23 + 0 + 7 + 1 + 633 + 2 = 666.

230716332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230716296 and 230716305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38844 + ... + 44387.

It is an arithmetic number, because the mean of its divisors is an integer number (10098816).

Almost surely, 2230716332 is an apocalyptic number.

230716332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

230716332 is an abundant number, since it is smaller than the sum of its proper divisors (496398420).

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

230716332 is a wasteful number, since it uses less digits than its factorization.

230716332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83259 (or 83254 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 230716332 is about 15189.3492948184. The cubic root of 230716332 is about 613.3279826513.

It can be divided in two parts, 23071 and 6332, that added together give a triangular number (29403 = T242).

The spelling of 230716332 in words is "two hundred thirty million, seven hundred sixteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 83231 166462 249693 332924 499386 582617 749079 915541 998772 1165234 1498158 1747851 1831082 2330468 2746623 2996316 3495702 3662164 5243553 5493246 6408787 6991404 8239869 10487106 10986492 12817574 16479738 19226361 20974212 25635148 32959476 38452722 57679083 76905444 115358166 230716332