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228768000029 is a prime number
BaseRepresentation
bin1101010100001110100…
…0101010100000011101
3210212111020100111121222
43111003220222200131
512222004102000104
6253032232103125
722346040626132
oct3250350524035
9725436314558
10228768000029
1189024632438
1238405b34aa5
131875a3976ba
14b102a6a589
155e3dd411be
hex3543a2a81d

228768000029 has 2 divisors, whose sum is σ = 228768000030. Its totient is φ = 228768000028.

The previous prime is 228767999939. The next prime is 228768000053. The reversal of 228768000029 is 920000867822.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170263516900 + 58504483129 = 412630^2 + 241877^2 .

It is a cyclic number.

It is not a de Polignac number, because 228768000029 - 220 = 228766951453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (228768000059) 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 as a sum of consecutive naturals, namely, 114384000014 + 114384000015.

It is an arithmetic number, because the mean of its divisors is an integer number (114384000015).

Almost surely, 2228768000029 is an apocalyptic number.

It is an amenable number.

228768000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

228768000029 is an equidigital number, since it uses as much as digits as its factorization.

228768000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 228768000029 in words is "two hundred twenty-eight billion, seven hundred sixty-eight million, twenty-nine", and thus it is an aban number.