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230130225 = 325213292713
BaseRepresentation
bin11011011011110…
…00001000110001
3121001000211022200
431231320020301
5432403131400
634500253413
75463034413
oct1555701061
9531024280
10230130225
111089a2276
12650a1269
13388a6640
14227c69b3
151530bb00
hexdb78231

230130225 has 72 divisors (see below), whose sum is σ = 459371640. Its totient is φ = 109347840.

The previous prime is 230130221. The next prime is 230130233. The reversal of 230130225 is 522031032.

230130225 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 12 ways, for example, as 32080896 + 198049329 = 5664^2 + 14073^2 .

It is not a de Polignac number, because 230130225 - 22 = 230130221 is a prime.

It is a super-3 number, since 3×2301302253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230130198 and 230130207.

It is not an unprimeable number, because it can be changed into a prime (230130221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83469 + ... + 86181.

Almost surely, 2230130225 is an apocalyptic number.

230130225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

230130225 is a deficient number, since it is larger than the sum of its proper divisors (229241415).

230130225 is a wasteful number, since it uses less digits than its factorization.

230130225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230130225 is about 15170.0436716576. The cubic root of 230130225 is about 612.8081803284.

Adding to 230130225 its reverse (522031032), we get a palindrome (752161257).

The spelling of 230130225 in words is "two hundred thirty million, one hundred thirty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 29 39 45 65 75 87 117 145 195 225 261 325 377 435 585 725 975 1131 1305 1885 2175 2713 2925 3393 5655 6525 8139 9425 13565 16965 24417 28275 35269 40695 67825 78677 84825 105807 122085 176345 203475 236031 317421 393385 529035 610425 708093 881725 1022801 1180155 1587105 1966925 2645175 3068403 3540465 5114005 5900775 7935525 9205209 15342015 17702325 25570025 46026045 76710075 230130225