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256222602144 = 2532889661813
BaseRepresentation
bin1110111010100000001…
…1101010001110100000
3220111100121000210112100
43232220003222032200
513144220441232034
6313412415330400
724340302116655
oct3565003521640
9814317023470
10256222602144
1199732a85353
12417a8520a00
131b2142c68b2
14c589007c2c
1569e9273099
hex3ba80ea3a0

256222602144 has 36 divisors (see below), whose sum is σ = 728633025666. Its totient is φ = 85407533952.

The previous prime is 256222602143. The next prime is 256222602157. The reversal of 256222602144 is 441206222652.

256222602144 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 2 + 2 + 602 + 1 + 44 = 666.

256222602144 is digitally balanced in base 7, 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 only one way, i.e., 216057632400 + 40164969744 = 464820^2 + 200412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 256222602099 and 256222602108.

It is not an unprimeable number, because it can be changed into a prime (256222602143) 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 5 ways as a sum of consecutive naturals, for example, 444830619 + ... + 444831194.

Almost surely, 2256222602144 is an apocalyptic number.

256222602144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256222602144 is an abundant number, since it is smaller than the sum of its proper divisors (472410423522).

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

256222602144 is a wasteful number, since it uses less digits than its factorization.

256222602144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889661829 (or 889661818 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 256222602144 its reverse (441206222652), we get a palindrome (697428824796).

The spelling of 256222602144 in words is "two hundred fifty-six billion, two hundred twenty-two million, six hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 889661813 1779323626 2668985439 3558647252 5337970878 7117294504 8006956317 10675941756 14234589008 16013912634 21351883512 28469178016 32027825268 42703767024 64055650536 85407534048 128111301072 256222602144