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13224221200 = 245233060553
BaseRepresentation
bin11000101000011100…
…11001101000010000
31021010121201001010101
430110032121220100
5204040400034300
610024120542144
7645465011521
oct142416315020
937117631111
1013224221200
115676801133
122690921954
131329989878
148d6454848
15525e92b6a
hex314399a10

13224221200 has 30 divisors (see below), whose sum is σ = 31771192394. Its totient is φ = 5289688320.

The previous prime is 13224221159. The next prime is 13224221201. The reversal of 13224221200 is 212242231.

It can be written as a sum of positive squares in 3 ways, for example, as 25887744 + 13198333456 = 5088^2 + 114884^2 .

It is not an unprimeable number, because it can be changed into a prime (13224221201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16529877 + ... + 16530676.

Almost surely, 213224221200 is an apocalyptic number.

13224221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13224221200 is an abundant number, since it is smaller than the sum of its proper divisors (18546971194).

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

13224221200 is a wasteful number, since it uses less digits than its factorization.

13224221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33060571 (or 33060560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13224221200 its reverse (212242231), we get a palindrome (13436463431).

The spelling of 13224221200 in words is "thirteen billion, two hundred twenty-four million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 33060553 66121106 132242212 165302765 264484424 330605530 528968848 661211060 826513825 1322422120 1653027650 2644844240 3306055300 6612110600 13224221200