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8022029 is a prime number
BaseRepresentation
bin11110100110100000001101
3120002120011012
4132212200031
54023201104
6443535005
7125120561
oct36464015
916076135
108022029
11458a084
12282a465
13187b482
1410cb6a1
15a86d6e
hex7a680d

8022029 has 2 divisors, whose sum is σ = 8022030. Its totient is φ = 8022028.

The previous prime is 8022017. The next prime is 8022041. The reversal of 8022029 is 9202208.

It is a balanced prime because it is at equal distance from previous prime (8022017) and next prime (8022041).

It can be written as a sum of positive squares in only one way, i.e., 4959529 + 3062500 = 2227^2 + 1750^2 .

It is a cyclic number.

It is not a de Polignac number, because 8022029 - 220 = 6973453 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8021995 and 8022013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8022089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4011014 + 4011015.

It is an arithmetic number, because the mean of its divisors is an integer number (4011015).

Almost surely, 28022029 is an apocalyptic number.

It is an amenable number.

8022029 is a deficient number, since it is larger than the sum of its proper divisors (1).

8022029 is an equidigital number, since it uses as much as digits as its factorization.

8022029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 8022029 is about 2832.3186614504. The cubic root of 8022029 is about 200.1834067584.

The spelling of 8022029 in words is "eight million, twenty-two thousand, twenty-nine".