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22329029 is a prime number
BaseRepresentation
bin101010100101…
…1011011000101
31120000102200002
41111023123011
521204012104
62114331045
7360536132
oct125133305
946012602
1022329029
1111671148
127589a85
13481a558
142d73589
151e6101e
hex154b6c5

22329029 has 2 divisors, whose sum is σ = 22329030. Its totient is φ = 22329028.

The previous prime is 22329017. The next prime is 22329049. The reversal of 22329029 is 92092322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21996100 + 332929 = 4690^2 + 577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22329029 is a prime.

It is a super-3 number, since 3×223290293 (a number of 23 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22328992 and 22329010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22329049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11164514 + 11164515.

It is an arithmetic number, because the mean of its divisors is an integer number (11164515).

Almost surely, 222329029 is an apocalyptic number.

It is an amenable number.

22329029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22329029 is an equidigital number, since it uses as much as digits as its factorization.

22329029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 22329029 is about 4725.3601979108. The cubic root of 22329029 is about 281.5939236930.

The spelling of 22329029 in words is "twenty-two million, three hundred twenty-nine thousand, twenty-nine".