Search a number
-
+
228381456209957 is a prime number
BaseRepresentation
bin110011111011011000110011…
…100100100001100000100101
31002221122001110100122012100122
4303323120303210201200211
5214413300210242204312
62125420554222051325
766051005246546111
oct6373306344414045
91087561410565318
10228381456209957
1166851039157aa6
1221745a33719b45
139a583819c9a6b
144057a15982741
151b60ad47b2b72
hexcfb633921825

228381456209957 has 2 divisors, whose sum is σ = 228381456209958. Its totient is φ = 228381456209956.

The previous prime is 228381456209953. The next prime is 228381456209993. The reversal of 228381456209957 is 759902654183822.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144738560578756 + 83642895631201 = 12030734^2 + 9145649^2 .

It is a cyclic number.

It is not a de Polignac number, because 228381456209957 - 22 = 228381456209953 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (228381456209953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 114190728104978 + 114190728104979.

It is an arithmetic number, because the mean of its divisors is an integer number (114190728104979).

It is a 1-persistent number, because it is pandigital, but 2⋅228381456209957 = 456762912419914 is not.

Almost surely, 2228381456209957 is an apocalyptic number.

It is an amenable number.

228381456209957 is a deficient number, since it is larger than the sum of its proper divisors (1).

228381456209957 is an equidigital number, since it uses as much as digits as its factorization.

228381456209957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 522547200, while the sum is 71.

The spelling of 228381456209957 in words is "two hundred twenty-eight trillion, three hundred eighty-one billion, four hundred fifty-six million, two hundred nine thousand, nine hundred fifty-seven".