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14330003220 = 22345131016737
BaseRepresentation
bin11010101100010001…
…00111111100010100
31100222200102120220000
431112020213330110
5213321440100340
610325541411300
71015053006021
oct152610477424
940880376800
1014330003220
116093a05575
12293b109b30
131474ab3260
1499d25a548
1558d0bbd30
hex356227f14

14330003220 has 240 divisors, whose sum is σ = 48898312848. Its totient is φ = 3491942400.

The previous prime is 14330003213. The next prime is 14330003221. The reversal of 14330003220 is 2230003341.

14330003220 is a `hidden beast` number, since 1 + 43 + 300 + 0 + 322 + 0 = 666.

14330003220 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 8 ways, for example, as 14837904 + 14315165316 = 3852^2 + 119646^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14330003193 and 14330003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330003221) 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 79 ways as a sum of consecutive naturals, for example, 2123692 + ... + 2130428.

Almost surely, 214330003220 is an apocalyptic number.

14330003220 is a gapful number since it is divisible by the number (10) 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 14330003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449156424).

14330003220 is an abundant number, since it is smaller than the sum of its proper divisors (34568309628).

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

14330003220 is a wasteful number, since it uses less digits than its factorization.

14330003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6861 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 14330003220 its reverse (2230003341), we get a palindrome (16560006561).

The spelling of 14330003220 in words is "fourteen billion, three hundred thirty million, three thousand, two hundred twenty".