Search a number
-
+
222302210129 is a prime number
BaseRepresentation
bin1100111100001000111…
…1101000100001010001
3210020210121211100022222
43033002033220201101
512120233331211004
6250042455510425
722026566415536
oct3170217504121
9706717740288
10222302210129
118630689081a
1237100688415
1317c69963c0c
14aa8c04cd8d
155bb139b7be
hex33c23e8851

222302210129 has 2 divisors, whose sum is σ = 222302210130. Its totient is φ = 222302210128.

The previous prime is 222302210111. The next prime is 222302210161. The reversal of 222302210129 is 921012203222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116854585600 + 105447624529 = 341840^2 + 324727^2 .

It is a cyclic number.

It is not a de Polignac number, because 222302210129 - 216 = 222302144593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222302210098 and 222302210107.

It is not a weakly prime, because it can be changed into another prime (222302212129) 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, 111151105064 + 111151105065.

It is an arithmetic number, because the mean of its divisors is an integer number (111151105065).

Almost surely, 2222302210129 is an apocalyptic number.

It is an amenable number.

222302210129 is a deficient number, since it is larger than the sum of its proper divisors (1).

222302210129 is an equidigital number, since it uses as much as digits as its factorization.

222302210129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 222302210129 in words is "two hundred twenty-two billion, three hundred two million, two hundred ten thousand, one hundred twenty-nine".