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225740851957 is a prime number
BaseRepresentation
bin1101001000111100110…
…1000000101011110101
3210120200021020110010201
43102033031000223311
512144304124230312
6251412013520501
722211032403425
oct3221715005365
9716607213121
10225740851957
118781090a275
12379001a3131
131839719931a
14acd69d8485
155d131d8557
hex348f340af5

225740851957 has 2 divisors, whose sum is σ = 225740851958. Its totient is φ = 225740851956.

The previous prime is 225740851943. The next prime is 225740851967. The reversal of 225740851957 is 759158047522.

225740851957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222627323556 + 3113528401 = 471834^2 + 55799^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225740851957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225740851898 and 225740851907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225740851967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112870425978 + 112870425979.

It is an arithmetic number, because the mean of its divisors is an integer number (112870425979).

Almost surely, 2225740851957 is an apocalyptic number.

It is an amenable number.

225740851957 is a deficient number, since it is larger than the sum of its proper divisors (1).

225740851957 is an equidigital number, since it uses as much as digits as its factorization.

225740851957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 225740851957 in words is "two hundred twenty-five billion, seven hundred forty million, eight hundred fifty-one thousand, nine hundred fifty-seven".