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2140222129 is a prime number
BaseRepresentation
bin111111110010001…
…0011001010110001
312112011012112211021
41333210103022301
513340344102004
6552212215441
7104015405443
oct17744231261
95464175737
102140222129
119a9110621
124b890a581
13281531836
1416435a493
15c7d5ed54
hex7f9132b1

2140222129 has 2 divisors, whose sum is σ = 2140222130. Its totient is φ = 2140222128.

The previous prime is 2140222087. The next prime is 2140222171. The reversal of 2140222129 is 9212220412.

It is a balanced prime because it is at equal distance from previous prime (2140222087) and next prime (2140222171).

It can be written as a sum of positive squares in only one way, i.e., 2068430400 + 71791729 = 45480^2 + 8473^2 .

It is a cyclic number.

It is not a de Polignac number, because 2140222129 - 215 = 2140189361 is a prime.

It is a super-2 number, since 2×21402221292 = 9161101522922585282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2140222729) 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, 1070111064 + 1070111065.

It is an arithmetic number, because the mean of its divisors is an integer number (1070111065).

Almost surely, 22140222129 is an apocalyptic number.

It is an amenable number.

2140222129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140222129 is an equidigital number, since it uses as much as digits as its factorization.

2140222129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2140222129 is about 46262.5348311136. The cubic root of 2140222129 is about 1288.7033279898.

The spelling of 2140222129 in words is "two billion, one hundred forty million, two hundred twenty-two thousand, one hundred twenty-nine".