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2232303302201 = 72173178453741
BaseRepresentation
bin100000011110111111101…
…001010011011000111001
321220101222001111022110112
4200132333221103120321
5243033224121132301
64425301142554105
7320164361664500
oct40367751233071
97811861438415
102232303302201
11790795022055
12300775a38935
131326751a883b
147a088c67837
153d1023a09bb
hex207bfa53639

2232303302201 has 24 divisors (see below), whose sum is σ = 2758185494856. Its totient is φ = 1795168596480.

The previous prime is 2232303302191. The next prime is 2232303302261. The reversal of 2232303302201 is 1022033032322.

It can be written as a sum of positive squares in 4 ways, for example, as 428920206400 + 1803383095801 = 654920^2 + 1342901^2 .

It is a de Polignac number, because none of the positive numbers 2k-2232303302201 is a prime.

It is a super-3 number, since 3×22323033022013 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2232303302261) 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 23 ways as a sum of consecutive naturals, for example, 3962810 + ... + 4490931.

It is an arithmetic number, because the mean of its divisors is an integer number (114924395619).

Almost surely, 22232303302201 is an apocalyptic number.

It is an amenable number.

2232303302201 is a deficient number, since it is larger than the sum of its proper divisors (525882192655).

2232303302201 is a wasteful number, since it uses less digits than its factorization.

2232303302201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454089 (or 8454082 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 2232303302201 its reverse (1022033032322), we get a palindrome (3254336334523).

The spelling of 2232303302201 in words is "two trillion, two hundred thirty-two billion, three hundred three million, three hundred two thousand, two hundred one".

Divisors: 1 7 17 49 119 317 833 2219 5389 15533 37723 264061 8453741 59176187 143713597 414233309 1005995179 2679835897 7041966253 18758851279 45557210249 131311958953 318900471743 2232303302201