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233801161 = 1122966629
BaseRepresentation
bin11011110111110…
…00010111001001
3121021221022220021
431323320113021
5434323114121
635111100441
75536164016
oct1573702711
9537838807
10233801161
1110aa7a300
1266371721
13395904a9
14230a070d
15157d4641
hexdef85c9

233801161 has 12 divisors (see below), whose sum is σ = 265853700. Its totient is φ = 205214240.

The previous prime is 233801093. The next prime is 233801167. The reversal of 233801161 is 161108332.

It can be written as a sum of positive squares in 2 ways, for example, as 88454025 + 145347136 = 9405^2 + 12056^2 .

It is not a de Polignac number, because 233801161 - 213 = 233792969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233801167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29806 + ... + 36823.

It is an arithmetic number, because the mean of its divisors is an integer number (22154475).

Almost surely, 2233801161 is an apocalyptic number.

It is an amenable number.

233801161 is a deficient number, since it is larger than the sum of its proper divisors (32052539).

233801161 is a wasteful number, since it uses less digits than its factorization.

233801161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66680 (or 66669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 233801161 is about 15290.5579034906. The cubic root of 233801161 is about 616.0494220551.

Adding to 233801161 its reverse (161108332), we get a palindrome (394909493).

The spelling of 233801161 in words is "two hundred thirty-three million, eight hundred one thousand, one hundred sixty-one".

Divisors: 1 11 29 121 319 3509 66629 732919 1932241 8062109 21254651 233801161