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229413371441 is a prime number
BaseRepresentation
bin1101010110101000011…
…0100011111000110001
3210221011012201202202212
43111222012203320301
512224314310341231
6253220244421505
722401035324342
oct3255206437061
9727135652685
10229413371441
118932595a541
12385660a7895
1318830cba987
14b1646640c9
155e7a82242b
hex356a1a3e31

229413371441 has 2 divisors, whose sum is σ = 229413371442. Its totient is φ = 229413371440.

The previous prime is 229413371357. The next prime is 229413371497. The reversal of 229413371441 is 144173314922.

229413371441 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., 224111347216 + 5302024225 = 473404^2 + 72815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-229413371441 is a prime.

It is not a weakly prime, because it can be changed into another prime (229413371141) 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, 114706685720 + 114706685721.

It is an arithmetic number, because the mean of its divisors is an integer number (114706685721).

Almost surely, 2229413371441 is an apocalyptic number.

It is an amenable number.

229413371441 is a deficient number, since it is larger than the sum of its proper divisors (1).

229413371441 is an equidigital number, since it uses as much as digits as its factorization.

229413371441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 41.

The spelling of 229413371441 in words is "two hundred twenty-nine billion, four hundred thirteen million, three hundred seventy-one thousand, four hundred forty-one".