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230016260 = 22511500813
BaseRepresentation
bin11011011010111…
…00010100000100
3121000211000222202
431231130110010
5432341010020
634454014032
75462051225
oct1555342404
9530730882
10230016260
11108924691
1265047318
13388667c6
142279724c
15152d7e75
hexdb5c504

230016260 has 12 divisors (see below), whose sum is σ = 483034188. Its totient is φ = 92006496.

The previous prime is 230016221. The next prime is 230016263. The reversal of 230016260 is 62610032.

It can be written as a sum of positive squares in 2 ways, for example, as 96983104 + 133033156 = 9848^2 + 11534^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 11500813 = 230016260 / (2 + 3 + 0 + 0 + 1 + 6 + 2 + 6 + 0).

230016260 is a modest number, since divided by 16260 gives 2300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (230016263) 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 3 ways as a sum of consecutive naturals, for example, 5750387 + ... + 5750426.

It is an arithmetic number, because the mean of its divisors is an integer number (40252849).

Almost surely, 2230016260 is an apocalyptic number.

230016260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230016260 is an abundant number, since it is smaller than the sum of its proper divisors (253017928).

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

230016260 is a wasteful number, since it uses less digits than its factorization.

230016260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500822 (or 11500820 counting only the distinct ones).

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

The square root of 230016260 is about 15166.2869549537. The cubic root of 230016260 is about 612.7070054162.

Adding to 230016260 its reverse (62610032), we get a palindrome (292626292).

The spelling of 230016260 in words is "two hundred thirty million, sixteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 11500813 23001626 46003252 57504065 115008130 230016260