Search a number
-
+
222131201269 is a prime number
BaseRepresentation
bin1100111011100000001…
…1010010010011110101
3210020100201001012021111
43032320003102103311
512114411041420034
6250013510315021
722022422025455
oct3167003222365
9706321035244
10222131201269
11862292aa28a
1237073358a71
1317c403ba643
14aa73455d65
155ba136c364
hex33b80d24f5

222131201269 has 2 divisors, whose sum is σ = 222131201270. Its totient is φ = 222131201268.

The previous prime is 222131201263. The next prime is 222131201309. The reversal of 222131201269 is 962102131222.

222131201269 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., 116270770225 + 105860431044 = 340985^2 + 325362^2 .

It is a cyclic number.

It is not a de Polignac number, because 222131201269 - 231 = 219983717621 is a prime.

It is a super-2 number, since 2×2221312012692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222131201269.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222131201263) 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, 111065600634 + 111065600635.

It is an arithmetic number, because the mean of its divisors is an integer number (111065600635).

Almost surely, 2222131201269 is an apocalyptic number.

It is an amenable number.

222131201269 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131201269 is an equidigital number, since it uses as much as digits as its factorization.

222131201269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 222131201269 in words is "two hundred twenty-two billion, one hundred thirty-one million, two hundred one thousand, two hundred sixty-nine".