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225480029569 is a prime number
BaseRepresentation
bin1101000111111110101…
…0000011010110000001
3210120000002110022002021
43101333222003112001
512143240341421234
6251330055321441
722201414425334
oct3217752032601
9716002408067
10225480029569
1187697664583
1237848980281
1318355137952
14acb010261b
155cea3679b4
hex347fa83581

225480029569 has 2 divisors, whose sum is σ = 225480029570. Its totient is φ = 225480029568.

The previous prime is 225480029479. The next prime is 225480029573. The reversal of 225480029569 is 965920084522.

225480029569 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., 180359897344 + 45120132225 = 424688^2 + 212415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225480029569 is a prime.

It is a super-2 number, since 2×2254800295692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225480029869) 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, 112740014784 + 112740014785.

It is an arithmetic number, because the mean of its divisors is an integer number (112740014785).

Almost surely, 2225480029569 is an apocalyptic number.

It is an amenable number.

225480029569 is a deficient number, since it is larger than the sum of its proper divisors (1).

225480029569 is an equidigital number, since it uses as much as digits as its factorization.

225480029569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 225480029569 in words is "two hundred twenty-five billion, four hundred eighty million, twenty-nine thousand, five hundred sixty-nine".