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32234422443223 = 71113295101217687
BaseRepresentation
bin1110101010001001010010…
…10011001001110011010111
311020010120200022201120221011
413111010221103021303113
513211112044121140343
6152320142250433051
76534601015651510
oct725045123116327
9136116608646834
1032234422443223
11a2a85a6135120
1237472b6a32787
1314ca901678090
147d6223843a07
153ad75822329d
hex1d51294c9cd7

32234422443223 has 64 divisors (see below), whose sum is σ = 44781173176320. Its totient is φ = 22381603776000.

The previous prime is 32234422443221. The next prime is 32234422443239.

32234422443223 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32234422443223 - 21 = 32234422443221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32234422443221) 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 63 ways as a sum of consecutive naturals, for example, 147968086 + ... + 148185772.

It is an arithmetic number, because the mean of its divisors is an integer number (699705830880).

Almost surely, 232234422443223 is an apocalyptic number.

32234422443223 is a deficient number, since it is larger than the sum of its proper divisors (12546750733097).

32234422443223 is a wasteful number, since it uses less digits than its factorization.

32234422443223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222848.

The product of its digits is 1327104, while the sum is 40.

It can be divided in two parts, 3223442 and 2443223, that added together give a palindrome (5666665).

The spelling of 32234422443223 in words is "thirty-two trillion, two hundred thirty-four billion, four hundred twenty-two million, four hundred forty-three thousand, two hundred twenty-three".

Divisors: 1 7 11 13 29 77 91 143 203 319 377 1001 2233 2639 4147 5101 29029 35707 56111 66313 147929 217687 392777 464191 729443 1035503 1523809 1627219 1923077 2394557 2829931 5106101 6312923 11390533 13461539 16761899 19809517 21153847 31129241 44190461 69442153 82067999 148076929 217904687 486095071 574475993 902747989 1110421387 6319235923 7772949709 12214635257 14435478031 32202220223 85502446799 101048346217 158790258341 225415541561 354224422453 418628862899 1111531808387 2479570957171 2930402040293 4604917491889 32234422443223