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225403346369 is a prime number
BaseRepresentation
bin1101000111101100010…
…1100001110111000001
3210112210202011101111202
43101323011201313001
512143111224040434
6251314315550545
722166463555215
oct3217305416701
9715722141452
10225403346369
1187658349333
123782715b455
1318342299186
14aca3c60945
155ce376ba7e
hex347b161dc1

225403346369 has 2 divisors, whose sum is σ = 225403346370. Its totient is φ = 225403346368.

The previous prime is 225403346291. The next prime is 225403346419. The reversal of 225403346369 is 963643304522.

225403346369 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., 123948355969 + 101454990400 = 352063^2 + 318520^2 .

It is a cyclic number.

It is not a de Polignac number, because 225403346369 - 220 = 225402297793 is a prime.

It is a super-2 number, since 2×2254033463692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225403346869) 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, 112701673184 + 112701673185.

It is an arithmetic number, because the mean of its divisors is an integer number (112701673185).

Almost surely, 2225403346369 is an apocalyptic number.

It is an amenable number.

225403346369 is a deficient number, since it is larger than the sum of its proper divisors (1).

225403346369 is an equidigital number, since it uses as much as digits as its factorization.

225403346369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 47.

The spelling of 225403346369 in words is "two hundred twenty-five billion, four hundred three million, three hundred forty-six thousand, three hundred sixty-nine".