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2224002422133 = 33103919792641
BaseRepresentation
bin100000010111010000110…
…111111101010101110101
321212121112112220220201000
4200113100313331111311
5242414224110002013
64421405334153513
7316451565451122
oct40272067752565
97777475826630
102224002422133
11788215429a98
122bb039ab2899
1313195151a19b
14798dc63b749
153ccb8770973
hex205d0dfd575

2224002422133 has 16 divisors (see below), whose sum is σ = 3294854265600. Its totient is φ = 1482652143360.

The previous prime is 2224002422129. The next prime is 2224002422179. The reversal of 2224002422133 is 3312242004222.

2224002422133 is a `hidden beast` number, since 2 + 2 + 2 + 400 + 2 + 4 + 221 + 33 = 666.

It is not a de Polignac number, because 2224002422133 - 22 = 2224002422129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2224002422097 and 2224002422106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224002422333) 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 15 ways as a sum of consecutive naturals, for example, 2409493 + ... + 3202133.

It is an arithmetic number, because the mean of its divisors is an integer number (205928391600).

Almost surely, 22224002422133 is an apocalyptic number.

It is an amenable number.

2224002422133 is a deficient number, since it is larger than the sum of its proper divisors (1070851843467).

2224002422133 is a wasteful number, since it uses less digits than its factorization.

2224002422133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896569 (or 896563 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2224002422133 its reverse (3312242004222), we get a palindrome (5536244426355).

The spelling of 2224002422133 in words is "two trillion, two hundred twenty-four billion, two million, four hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 103919 311757 792641 935271 2377923 2805813 7133769 21401307 82370460079 247111380237 741334140711 2224002422133