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222331331133 = 32191300183223
BaseRepresentation
bin1100111100001111111…
…0101110001000111101
3210020212122121211211200
43033003332232020331
512120313310044013
6250045420010113
722030402063452
oct3170376561075
9706778554750
10222331331133
118632127086a
123710a390939
1317c729bba92
14aa91c6d829
155bb3beee73
hex33c3fae23d

222331331133 has 12 divisors (see below), whose sum is σ = 338047638240. Its totient is φ = 140419787976.

The previous prime is 222331331107. The next prime is 222331331141. The reversal of 222331331133 is 331133133222.

222331331133 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 313 + 311 + 33 = 666.

It is not a de Polignac number, because 222331331133 - 214 = 222331314749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222331331097 and 222331331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222331338133) 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 11 ways as a sum of consecutive naturals, for example, 650091441 + ... + 650091782.

It is an arithmetic number, because the mean of its divisors is an integer number (28170636520).

Almost surely, 2222331331133 is an apocalyptic number.

It is an amenable number.

222331331133 is a deficient number, since it is larger than the sum of its proper divisors (115716307107).

222331331133 is a wasteful number, since it uses less digits than its factorization.

222331331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300183248 (or 1300183245 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 222331331133 its reverse (331133133222), we get a palindrome (553464464355).

The spelling of 222331331133 in words is "two hundred twenty-two billion, three hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 1300183223 3900549669 11701649007 24703481237 74110443711 222331331133