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232211233221 = 31127910180173
BaseRepresentation
bin1101100001000011011…
…1100011100111000101
3211012101012101212121020
43120100313203213011
512301032033430341
6254402032341353
722530260625642
oct3302067434705
9735335355536
10232211233221
118a531207500
12390070a4859
1318b888498a6
14b34c08cdc9
156091288566
hex3610de39c5

232211233221 has 48 divisors (see below), whose sum is σ = 348044954880. Its totient is φ = 137575152000.

The previous prime is 232211233213. The next prime is 232211233231. The reversal of 232211233221 is 122332112232.

232211233221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232211233221 - 23 = 232211233213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 232211233191 and 232211233200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232211233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2856291 + ... + 2936463.

It is an arithmetic number, because the mean of its divisors is an integer number (7250936560).

Almost surely, 2232211233221 is an apocalyptic number.

It is an amenable number.

232211233221 is a deficient number, since it is larger than the sum of its proper divisors (115833721659).

232211233221 is a wasteful number, since it uses less digits than its factorization.

232211233221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80378 (or 80367 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 232211233221 its reverse (122332112232), we get a palindrome (354543345453).

The spelling of 232211233221 in words is "two hundred thirty-two billion, two hundred eleven million, two hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 11 33 79 101 121 237 303 363 869 1111 2607 3333 7979 9559 12221 23937 28677 36663 80173 87769 240519 263307 881903 965459 2645709 2896377 6333667 8097473 9700933 19001001 24292419 29102799 69670337 89072203 209011011 267216609 639700367 766373707 979794233 1919101101 2299121121 2939382699 7036704037 21110112111 77403744407 232211233221