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2223332117 is a prime number
BaseRepresentation
bin1000010010000101…
…0101101100010101
312201221120222021222
42010201111230111
514023133111432
61004341420125
7106045003556
oct20441255425
95657528258
102223332117
11a41016366
1252070a645
13295810646
141713d232d
15d02ca112
hex84855b15

2223332117 has 2 divisors, whose sum is σ = 2223332118. Its totient is φ = 2223332116.

The previous prime is 2223332081. The next prime is 2223332123. The reversal of 2223332117 is 7112333222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2154259396 + 69072721 = 46414^2 + 8311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223332117 - 212 = 2223328021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2223332197) 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, 1111666058 + 1111666059.

It is an arithmetic number, because the mean of its divisors is an integer number (1111666059).

Almost surely, 22223332117 is an apocalyptic number.

It is an amenable number.

2223332117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223332117 is an equidigital number, since it uses as much as digits as its factorization.

2223332117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 2223332117 is about 47152.2228214111. Note that the first 3 decimals coincide. The cubic root of 2223332117 is about 1305.1730987877.

Adding to 2223332117 its reverse (7112333222), we get a palindrome (9335665339).

The spelling of 2223332117 in words is "two billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred seventeen".