Search a number
-
+
232331222313 = 32176037251533
BaseRepresentation
bin1101100001100000000…
…1010001110100101001
3211012200120011221200200
43120120001101310221
512301303243103223
6254422000222413
722533245543241
oct3303001216451
9735616157620
10232331222313
118a592a11043
123903b30aa09
1318ba766b858
14b35dda4b21
15609ba8aa43
hex3618051d29

232331222313 has 24 divisors (see below), whose sum is σ = 355390376328. Its totient is φ = 145751726592.

The previous prime is 232331222243. The next prime is 232331222317. The reversal of 232331222313 is 313222133232.

232331222313 is a `hidden beast` number, since 2 + 32 + 3 + 312 + 2 + 2 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17468380224 + 214862842089 = 132168^2 + 463533^2 .

It is not a de Polignac number, because 232331222313 - 214 = 232331205929 is a prime.

It is a super-2 number, since 2×2323312223132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232331222317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 797895 + ... + 1049427.

It is an arithmetic number, because the mean of its divisors is an integer number (14807932347).

Almost surely, 2232331222313 is an apocalyptic number.

It is an amenable number.

232331222313 is a deficient number, since it is larger than the sum of its proper divisors (123059154015).

232331222313 is a wasteful number, since it uses less digits than its factorization.

232331222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257593 (or 257590 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 232331222313 its reverse (313222133232), we get a palindrome (545553355545).

The spelling of 232331222313 in words is "two hundred thirty-two billion, three hundred thirty-one million, two hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 6037 18111 54333 102629 251533 307887 754599 923661 2263797 4276061 12828183 38484549 1518504721 4555514163 13666542489 25814580257 77443740771 232331222313