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2225102029 is a prime number
BaseRepresentation
bin1000010010100000…
…0101110011001101
312202001220220011021
42010220011303031
514024111231104
61004443354141
7106066024633
oct20450056315
95661826137
102225102029
11a420150a7
12521222951
13295cb0127
14171733353
15d0529754
hex84a05ccd

2225102029 has 2 divisors, whose sum is σ = 2225102030. Its totient is φ = 2225102028.

The previous prime is 2225101999. The next prime is 2225102039. The reversal of 2225102029 is 9202015222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1301549929 + 923552100 = 36077^2 + 30390^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225102029 - 25 = 2225101997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2225101994 and 2225102012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2225102039) 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, 1112551014 + 1112551015.

It is an arithmetic number, because the mean of its divisors is an integer number (1112551015).

Almost surely, 22225102029 is an apocalyptic number.

It is an amenable number.

2225102029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225102029 is an equidigital number, since it uses as much as digits as its factorization.

2225102029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2225102029 is about 47170.9871531220. The cubic root of 2225102029 is about 1305.5193401797.

The spelling of 2225102029 in words is "two billion, two hundred twenty-five million, one hundred two thousand, twenty-nine".