Search a number
-
+
230783624 = 2329531372
BaseRepresentation
bin11011100000101…
…11101010001000
3121002021000121122
431300113222020
5433040033444
634522254412
75501425361
oct1560275210
9532230548
10230783624
111092a9175
1265357408
1338a74b76
1422916b68
15153da4ee
hexdc17a88

230783624 has 48 divisors (see below), whose sum is σ = 459440100. Its totient is φ = 108512768.

The previous prime is 230783621. The next prime is 230783669. The reversal of 230783624 is 426387032.

230783624 is digitally balanced in base 3, 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 6 ways, for example, as 163379524 + 67404100 = 12782^2 + 8210^2 .

It is a super-2 number, since 2×2307836242 = 106522162213146752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230783621) 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 11 ways as a sum of consecutive naturals, for example, 1684484 + ... + 1684620.

Almost surely, 2230783624 is an apocalyptic number.

It is an amenable number.

230783624 is a deficient number, since it is larger than the sum of its proper divisors (228656476).

230783624 is a wasteful number, since it uses less digits than its factorization.

230783624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 230783624 is about 15191.5642380895. The cubic root of 230783624 is about 613.3876057309.

The spelling of 230783624 in words is "two hundred thirty million, seven hundred eighty-three thousand, six hundred twenty-four".

Divisors: 1 2 4 8 29 53 58 106 116 137 212 232 274 424 548 1096 1537 3074 3973 6148 7261 7946 12296 14522 15892 18769 29044 31784 37538 58088 75076 150152 210569 421138 544301 842276 994757 1088602 1684552 1989514 2177204 3979028 4354408 7958056 28847953 57695906 115391812 230783624