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230248305 = 3357234807
BaseRepresentation
bin11011011100101…
…00111101110001
3121001020211022000
431232110331301
5432420421210
634503004213
75464035600
oct1556247561
9531224260
10230248305
11108a72a61
1265139669
1338918301
1422817a37
1515331ac0
hexdb94f71

230248305 has 48 divisors (see below), whose sum is σ = 476173440. Its totient is φ = 105253344.

The previous prime is 230248303. The next prime is 230248349. The reversal of 230248305 is 503842032.

It is not a de Polignac number, because 230248305 - 21 = 230248303 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (230248301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10789 + ... + 24018.

It is an arithmetic number, because the mean of its divisors is an integer number (9920280).

Almost surely, 2230248305 is an apocalyptic number.

It is an amenable number.

230248305 is an abundant number, since it is smaller than the sum of its proper divisors (245925135).

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

230248305 is a wasteful number, since it uses less digits than its factorization.

230248305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34835 (or 34822 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230248305 is about 15173.9350532418. The cubic root of 230248305 is about 612.9129731942.

It can be divided in two parts, 23024 and 8305, that added together give a square (31329 = 1772).

The spelling of 230248305 in words is "two hundred thirty million, two hundred forty-eight thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 2205 6615 34807 104421 174035 243649 313263 522105 730947 939789 1218245 1566315 1705543 2192841 3654735 4698945 5116629 6578523 8527715 10964205 15349887 25583145 32892615 46049661 76749435 230248305