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230468511 = 3721329277
BaseRepresentation
bin11011011110010…
…10101110011111
3121001200000100210
431233022232133
5432444443021
634511423503
75465643600
oct1557125637
9531600323
10230468511
11109103449
1265224b93
1338994600
1422873da7
1515376e76
hexdbcab9f

230468511 has 36 divisors (see below), whose sum is σ = 387115272. Its totient is φ = 121552704.

The previous prime is 230468509. The next prime is 230468521. The reversal of 230468511 is 115864032.

It is not a de Polignac number, because 230468511 - 21 = 230468509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230468521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20205 + ... + 29481.

It is an arithmetic number, because the mean of its divisors is an integer number (10753202).

Almost surely, 2230468511 is an apocalyptic number.

230468511 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230468511 is a deficient number, since it is larger than the sum of its proper divisors (156646761).

230468511 is a wasteful number, since it uses less digits than its factorization.

230468511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9320 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 230468511 is about 15181.1893802824. The cubic root of 230468511 is about 613.1083045058.

The spelling of 230468511 in words is "two hundred thirty million, four hundred sixty-eight thousand, five hundred eleven".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 3549 8281 9277 24843 27831 64939 120601 194817 361803 454573 844207 1363719 1567813 2532621 4703439 5909449 10974691 17728347 32924073 76822837 230468511