Search a number
-
+
230714864868601 = 294180612
BaseRepresentation
bin110100011101010101111101…
…100100001001110011111001
31010020220010101121200210001101
4310131111331210021303321
5220220013020401243401
62134404540135451401
766411412300104631
oct6435257544116371
91106803347623041
10230714864868601
1167570696548873
1221a62105526b61
139b9741a6bcaa9
1440d89325a16c1
151ba1652e41101
hexd1d57d909cf9

230714864868601 has 15 divisors (see below), whose sum is σ = 238967900976603. Its totient is φ = 222746846160720.

The previous prime is 230714864868569. The next prime is 230714864868613. The reversal of 230714864868601 is 106868468417032.

The square root of 230714864868601 is 15189301.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 35232522618601 + 195482342250000 = 5935699^2 + 13981500^2 .

It is not a de Polignac number, because 230714864868601 - 25 = 230714864868569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230714864868671) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12774193111 + ... + 12774211171.

Almost surely, 2230714864868601 is an apocalyptic number.

230714864868601 is the 15189301-st square number.

230714864868601 is the 7594651-st centered octagonal number.

It is an amenable number.

230714864868601 is a deficient number, since it is larger than the sum of its proper divisors (8253036108002).

230714864868601 is an frugal number, since it uses more digits than its factorization.

230714864868601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36238 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 230714864868601 in words is "two hundred thirty trillion, seven hundred fourteen billion, eight hundred sixty-four million, eight hundred sixty-eight thousand, six hundred one".

Divisors: 1 29 841 18061 24389 523769 707281 15189301 326199721 440489729 9459791909 12774202141 274333965361 7955684995469 230714864868601