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230005251 = 3472331741
BaseRepresentation
bin11011011010110…
…01101000000011
3121000210110220000
431231121220003
5432340132001
634453451043
75462004150
oct1555315003
9530713800
10230005251
11108917393
1265040a83
13388617a8
1422793227
15152d4a86
hexdb59a03

230005251 has 40 divisors (see below), whose sum is σ = 394583904. Its totient is φ = 130792320.

The previous prime is 230005247. The next prime is 230005271. The reversal of 230005251 is 152500032.

It is a happy number.

230005251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230005251 - 22 = 230005247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230005211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131241 + ... + 132981.

Almost surely, 2230005251 is an apocalyptic number.

230005251 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230005251 is a deficient number, since it is larger than the sum of its proper divisors (164578653).

230005251 is a wasteful number, since it uses less digits than its factorization.

230005251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 230005251 is about 15165.9240074583. The cubic root of 230005251 is about 612.6972301666.

Adding to 230005251 its reverse (152500032), we get a palindrome (382505283).

The spelling of 230005251 in words is "two hundred thirty million, five thousand, two hundred fifty-one".

Divisors: 1 3 7 9 21 27 63 81 189 233 567 699 1631 1741 2097 4893 5223 6291 12187 14679 15669 18873 36561 44037 47007 109683 132111 141021 329049 405653 987147 1216959 2839571 3650877 8518713 10952631 25556139 32857893 76668417 230005251