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233342323243332 = 22323845443200157
BaseRepresentation
bin110101000011100100111110…
…010010011011100101000100
31010121012022022201011122110120
4311003210332102123211010
5221041040034222241312
62144135552231221540
7100102266203563452
oct6503447622334504
91117168281148416
10233342323243332
1168393a18281526
122220737bb178b0
13a028118531a74
144189b85d759d2
151be9b816b628c
hexd4393e49b944

233342323243332 has 24 divisors (see below), whose sum is σ = 568137830506176. Its totient is φ = 74399001613728.

The previous prime is 233342323243319. The next prime is 233342323243333.

233342323243332 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233342323243333) 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 7 ways as a sum of consecutive naturals, for example, 422721599803 + ... + 422721600354.

It is an arithmetic number, because the mean of its divisors is an integer number (23672409604424).

Almost surely, 2233342323243332 is an apocalyptic number.

It is an amenable number.

233342323243332 is an abundant number, since it is smaller than the sum of its proper divisors (334795507262844).

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

233342323243332 is a wasteful number, since it uses less digits than its factorization.

233342323243332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845443200187 (or 845443200185 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 42.

The spelling of 233342323243332 in words is "two hundred thirty-three trillion, three hundred forty-two billion, three hundred twenty-three million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 845443200157 1690886400314 2536329600471 3381772800628 5072659200942 10145318401884 19445193603611 38890387207222 58335580810833 77780774414444 116671161621666 233342323243332