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230766481 = 11213812
BaseRepresentation
bin11011100000100…
…11011110010001
3121002020011002201
431300103132101
5433034011411
634522043201
75501324401
oct1560233621
9532204081
10230766481
11109297300
1265349501
1338a6a11a
1422910801
15153d53c1
hexdc13791

230766481 has 9 divisors (see below), whose sum is σ = 253836219. Its totient is φ = 209635800.

The previous prime is 230766469. The next prime is 230766577. The reversal of 230766481 is 184667032.

The square root of 230766481 is 15191.

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

230766481 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 only one way, i.e., 104878081 + 125888400 = 10241^2 + 11220^2 .

It is not a de Polignac number, because 230766481 - 27 = 230766353 is a prime.

It is a super-2 number, since 2×2307664812 = 106506337506246722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230766481.

It is not an unprimeable number, because it can be changed into a prime (230766461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166411 + ... + 167791.

Almost surely, 2230766481 is an apocalyptic number.

230766481 is the 15191-st square number.

230766481 is the 7596-th centered octagonal number.

It is an amenable number.

230766481 is a deficient number, since it is larger than the sum of its proper divisors (23069738).

230766481 is an frugal number, since it uses more digits than its factorization.

230766481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The cubic root of 230766481 is about 613.3724175301.

The spelling of 230766481 in words is "two hundred thirty million, seven hundred sixty-six thousand, four hundred eighty-one".

Divisors: 1 11 121 1381 15191 167101 1907161 20978771 230766481