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223043242340322 = 232229202972665933
BaseRepresentation
bin110010101101101101001101…
…001110101010111111100010
31002020201201121001110022221100
4302231231031032222333202
5213213320030014342242
62110212352340335230
764660225320410535
oct6255551516527742
91066651531408840
10223043242340322
11650831206373a8
12210233366a4516
13975bb6cac9721
143d114c9bd2a1c
151abbceeb1454c
hexcadb4d3aafe2

223043242340322 has 48 divisors (see below), whose sum is σ = 485394761138040. Its totient is φ = 74019410032896.

The previous prime is 223043242340291. The next prime is 223043242340381.

223043242340322 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 4 + 3 + 242 + 3 + 403 + 2 + 2 = 666.

223043242340322 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 220707599525361 + 2335642814961 = 14856231^2 + 1528281^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82331268 + ... + 84997200.

Almost surely, 2223043242340322 is an apocalyptic number.

223043242340322 is an abundant number, since it is smaller than the sum of its proper divisors (262351518797718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223043242340322 is a wasteful number, since it uses less digits than its factorization.

223043242340322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686467 (or 2686464 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 223043242340322 in words is "two hundred twenty-three trillion, forty-three billion, two hundred forty-two million, three hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 4122 20297 40594 60891 121782 182673 365346 2665933 4648013 5331866 7997799 9296026 13944039 15995598 23993397 27888078 41832117 47986794 83664234 610498657 1220997314 1831495971 3662991942 5494487913 10988975826 54110442101 108220884202 162331326303 324662652606 486993978909 973987957818 12391291241129 24782582482258 37173873723387 74347747446774 111521621170161 223043242340322