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230130312 = 23329714657
BaseRepresentation
bin11011011011110…
…00001010001000
3121001000211102220
431231320022020
5432403132222
634500254040
75463034566
oct1555701210
9531024386
10230130312
111089a2345
12650a1320
13388a66a9
14227c6a36
151530bb5c
hexdb78288

230130312 has 64 divisors (see below), whose sum is σ = 603676800. Its totient is φ = 73006080.

The previous prime is 230130287. The next prime is 230130323. The reversal of 230130312 is 213031032.

It is a junction number, because it is equal to n+sod(n) for n = 230130291 and 230130300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47088 + ... + 51744.

It is an arithmetic number, because the mean of its divisors is an integer number (9432450).

Almost surely, 2230130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301838400).

230130312 is an abundant number, since it is smaller than the sum of its proper divisors (373546488).

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

230130312 is a wasteful number, since it uses less digits than its factorization.

230130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 230130312 is about 15170.0465391508. The cubic root of 230130312 is about 612.8082575518.

Adding to 230130312 its reverse (213031032), we get a palindrome (443161344).

The spelling of 230130312 in words is "two hundred thirty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 284 348 426 568 696 852 1704 2059 4118 4657 6177 8236 9314 12354 13971 16472 18628 24708 27942 37256 49416 55884 111768 135053 270106 330647 405159 540212 661294 810318 991941 1080424 1322588 1620636 1983882 2645176 3241272 3967764 7935528 9588763 19177526 28766289 38355052 57532578 76710104 115065156 230130312