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230131460 = 225131974493
BaseRepresentation
bin11011011011110…
…00011100000100
3121001000220000102
431231320130010
5432403201320
634500303232
75463041126
oct1555703404
9531026012
10230131460
111089a3199
12650a1b18
13388a7080
14227c7216
151530c175
hexdb78704

230131460 has 48 divisors (see below), whose sum is σ = 523209456. Its totient is φ = 84521472.

The previous prime is 230131457. The next prime is 230131469. The reversal of 230131460 is 64131032.

230131460 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 8 ways, for example, as 37920964 + 192210496 = 6158^2 + 13864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (230131469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48974 + ... + 53466.

It is an arithmetic number, because the mean of its divisors is an integer number (10900197).

Almost surely, 2230131460 is an apocalyptic number.

230131460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230131460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261604728).

230131460 is an abundant number, since it is smaller than the sum of its proper divisors (293077996).

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

230131460 is a wasteful number, since it uses less digits than its factorization.

230131460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 230131460 is about 15170.0843768253. The cubic root of 230131460 is about 612.8092765436.

Adding to 230131460 its reverse (64131032), we get a palindrome (294262492).

The spelling of 230131460 in words is "two hundred thirty million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 4493 5122 8986 10244 12805 17972 22465 25610 44930 51220 58409 89860 116818 233636 292045 584090 885121 1168180 1770242 3540484 4425605 8851210 11506573 17702420 23013146 46026292 57532865 115065730 230131460