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230942205693 = 32171509426181
BaseRepresentation
bin1101011100010100111…
…0100110011011111101
3211002002202111121002200
43113011032212123331
512240432201040233
6254032100542113
722453651234143
oct3270516463375
9732082447080
10230942205693
1189a3a944321
12389120b1939
1318a15967424
14b26b711593
156019b65313
hex35c53a66fd

230942205693 has 12 divisors (see below), whose sum is σ = 353205726588. Its totient is φ = 144904913280.

The previous prime is 230942205677. The next prime is 230942205737. The reversal of 230942205693 is 396502249032.

230942205693 is a `hidden beast` number, since 23 + 0 + 9 + 42 + 20 + 569 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65629217124 + 165312988569 = 256182^2 + 406587^2 .

It is not a de Polignac number, because 230942205693 - 24 = 230942205677 is a prime.

It is a super-2 number, since 2×2309422056932 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230942205493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754712938 + ... + 754713243.

It is an arithmetic number, because the mean of its divisors is an integer number (29433810549).

Almost surely, 2230942205693 is an apocalyptic number.

It is an amenable number.

230942205693 is a deficient number, since it is larger than the sum of its proper divisors (122263520895).

230942205693 is a wasteful number, since it uses less digits than its factorization.

230942205693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509426204 (or 1509426201 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 230942205693 in words is "two hundred thirty billion, nine hundred forty-two million, two hundred five thousand, six hundred ninety-three".

Divisors: 1 3 9 17 51 153 1509426181 4528278543 13584835629 25660245077 76980735231 230942205693