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230459310 = 233517233759
BaseRepresentation
bin11011011110010…
…00011110101110
3121001122112202000
431233020132232
5432444144220
634511313130
75465605014
oct1557103656
9531575660
10230459310
111090a7544
126521b7a6
1338990373
14228708b4
1515374390
hexdbc87ae

230459310 has 256 divisors, whose sum is σ = 709171200. Its totient is φ = 52918272.

The previous prime is 230459309. The next prime is 230459323. The reversal of 230459310 is 13954032.

230459310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304593102 = 106222987131352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3906061 + ... + 3906119.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2230459310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230459310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

230459310 is an abundant number, since it is smaller than the sum of its proper divisors (478711890).

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

230459310 is a wasteful number, since it uses less digits than its factorization.

230459310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 230459310 is about 15180.8863377604. The cubic root of 230459310 is about 613.1001453513.

The spelling of 230459310 in words is "two hundred thirty million, four hundred fifty-nine thousand, three hundred ten".