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12245030224 = 247225760773
BaseRepresentation
bin10110110011101110…
…00101010101010000
31011121101011222121221
423121313011111100
5200034211431344
65343021254424
7612305016400
oct133167052520
934541158557
1012245030224
115214000499
122458a04414
131201b5711b
148423a2800
154ba022184
hex2d9dc5550

12245030224 has 60 divisors (see below), whose sum is σ = 27706015764. Its totient is φ = 5227364352.

The previous prime is 12245030197. The next prime is 12245030227. The reversal of 12245030224 is 42203054221.

12245030224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11470410000 + 774620224 = 107100^2 + 27832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245030227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171102 + ... + 231874.

Almost surely, 212245030224 is an apocalyptic number.

12245030224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12245030224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853007882).

12245030224 is an abundant number, since it is smaller than the sum of its proper divisors (15460985540).

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

12245030224 is a wasteful number, since it uses less digits than its factorization.

12245030224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61052 (or 61039 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 12245030224 its reverse (42203054221), we get a palindrome (54448084445).

The spelling of 12245030224 in words is "twelve billion, two hundred forty-five million, thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 257 392 514 784 1028 1799 2056 3598 4112 7196 12593 14392 25186 28784 50372 60773 100744 121546 201488 243092 425411 486184 850822 972368 1701644 2977877 3403288 5955754 6806576 11911508 15618661 23823016 31237322 47646032 62474644 109330627 124949288 218661254 249898576 437322508 765314389 874645016 1530628778 1749290032 3061257556 6122515112 12245030224