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230022210321 = 3397181631769
BaseRepresentation
bin1101011000111001100…
…1000110001100010001
3210222201122100222201000
43112032121012030101
512232041141212241
6253400514132213
722422110345661
oct3261631061421
9728648328630
10230022210321
11896085a5172
12386b5b81069
13188ca18c777
14b1c146c1a1
155eb3ed8eb6
hex358e646311

230022210321 has 64 divisors (see below), whose sum is σ = 347188441600. Its totient is φ = 150493593600.

The previous prime is 230022210283. The next prime is 230022210323. The reversal of 230022210321 is 123012220032.

230022210321 is a `hidden beast` number, since 2 + 300 + 22 + 21 + 0 + 321 = 666.

It is not a de Polignac number, because 230022210321 - 210 = 230022209297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230022210294 and 230022210303.

It is not an unprimeable number, because it can be changed into a prime (230022210323) 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 63 ways as a sum of consecutive naturals, for example, 299118225 + ... + 299118993.

It is an arithmetic number, because the mean of its divisors is an integer number (5424819400).

Almost surely, 2230022210321 is an apocalyptic number.

It is an amenable number.

230022210321 is a deficient number, since it is larger than the sum of its proper divisors (117166231279).

230022210321 is a wasteful number, since it uses less digits than its factorization.

230022210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230022210321 its reverse (123012220032), we get a palindrome (353034430353).

The spelling of 230022210321 in words is "two hundred thirty billion, twenty-two million, two hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 9 27 97 181 291 543 631 769 873 1629 1893 2307 2619 4887 5679 6921 17037 17557 20763 52671 61207 74593 114211 139189 158013 183621 223779 342633 417567 474039 485239 550863 671337 1027899 1252701 1455717 1652589 2014011 3083697 3758103 4367151 11078467 13101453 13501333 33235401 40503999 47068183 87828259 99706203 121511997 141204549 263484777 299118609 364535991 423613647 790454331 1270840941 2371362993 8519341123 25558023369 76674070107 230022210321