Search a number
-
+
222131029 is a prime number
BaseRepresentation
bin11010011110101…
…11001101010101
3120110222102111011
431033113031111
5423331143104
634013012221
75335040221
oct1517271525
9513872434
10222131029
1110442936a
1262484071
13370356a3
1421703781
151477b904
hexd3d7355

222131029 has 2 divisors, whose sum is σ = 222131030. Its totient is φ = 222131028.

The previous prime is 222131023. The next prime is 222131051. The reversal of 222131029 is 920131222.

It is an a-pointer prime, because the next prime (222131051) can be obtained adding 222131029 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 221950404 + 180625 = 14898^2 + 425^2 .

It is a cyclic number.

It is not a de Polignac number, because 222131029 - 213 = 222122837 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222131023) 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, 111065514 + 111065515.

It is an arithmetic number, because the mean of its divisors is an integer number (111065515).

Almost surely, 2222131029 is an apocalyptic number.

It is an amenable number.

222131029 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131029 is an equidigital number, since it uses as much as digits as its factorization.

222131029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 222131029 is about 14904.0608224739. The cubic root of 222131029 is about 605.6239984001.

The spelling of 222131029 in words is "two hundred twenty-two million, one hundred thirty-one thousand, twenty-nine".