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226820274217 is a prime number
BaseRepresentation
bin1101001100111110001…
…0101011100000101001
3210200110111100210002221
43103033202223200221
512204011442233332
6252111053354041
722246550343205
oct3231742534051
9720414323087
10226820274217
118821514a189
1237b61798921
13185099c3914
14ad9a0dbb05
155d77d57297
hex34cf8ab829

226820274217 has 2 divisors, whose sum is σ = 226820274218. Its totient is φ = 226820274216.

The previous prime is 226820274157. The next prime is 226820274281. The reversal of 226820274217 is 712472028622.

226820274217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124622414361 + 102197859856 = 353019^2 + 319684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226820274217 is a prime.

It is not a weakly prime, because it can be changed into another prime (226824274217) 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, 113410137108 + 113410137109.

It is an arithmetic number, because the mean of its divisors is an integer number (113410137109).

Almost surely, 2226820274217 is an apocalyptic number.

It is an amenable number.

226820274217 is a deficient number, since it is larger than the sum of its proper divisors (1).

226820274217 is an equidigital number, since it uses as much as digits as its factorization.

226820274217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 226820274217 in words is "two hundred twenty-six billion, eight hundred twenty million, two hundred seventy-four thousand, two hundred seventeen".