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230003213 = 1121979649
BaseRepresentation
bin11011011010110…
…01001000001101
3121000210101002112
431231121020031
5432340100323
634453433405
75461665206
oct1555311015
9530711075
10230003213
11108915900
126503b865
133886089b
14227925ad
15152d4178
hexdb5920d

230003213 has 12 divisors (see below), whose sum is σ = 254123100. Its totient is φ = 208010880.

The previous prime is 230003203. The next prime is 230003219. The reversal of 230003213 is 312300032.

230003213 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 2 ways, for example, as 136726249 + 93276964 = 11693^2 + 9658^2 .

It is not a de Polignac number, because 230003213 - 218 = 229741069 is a prime.

It is a super-3 number, since 3×2300032133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230003219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19013 + ... + 28661.

It is an arithmetic number, because the mean of its divisors is an integer number (21176925).

Almost surely, 2230003213 is an apocalyptic number.

It is an amenable number.

230003213 is a deficient number, since it is larger than the sum of its proper divisors (24119887).

230003213 is a wasteful number, since it uses less digits than its factorization.

230003213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868 (or 9857 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 230003213 is about 15165.8568172062. The cubic root of 230003213 is about 612.6954205258.

Adding to 230003213 its reverse (312300032), we get a palindrome (542303245).

The spelling of 230003213 in words is "two hundred thirty million, three thousand, two hundred thirteen".

Divisors: 1 11 121 197 2167 9649 23837 106139 1167529 1900853 20909383 230003213