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2223314129 is a prime number
BaseRepresentation
bin1000010010000101…
…0001010011010001
312201221120001121202
42010201101103101
514023132023004
61004341200545
7106044600251
oct20441212321
95657501552
102223314129
11a410038a3
12520700155
132958053ba
141713c9961
15d02c4b1e
hex848514d1

2223314129 has 2 divisors, whose sum is σ = 2223314130. Its totient is φ = 2223314128.

The previous prime is 2223314117. The next prime is 2223314161. The reversal of 2223314129 is 9214133222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2223311104 + 3025 = 47152^2 + 55^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2223314129 is a prime.

It is a super-2 number, since 2×22233141292 = 9886251432422057282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2223314189) 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, 1111657064 + 1111657065.

It is an arithmetic number, because the mean of its divisors is an integer number (1111657065).

Almost surely, 22223314129 is an apocalyptic number.

It is an amenable number.

2223314129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223314129 is an equidigital number, since it uses as much as digits as its factorization.

2223314129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 2223314129 is about 47152.0320771014. The cubic root of 2223314129 is about 1305.1695789182.

The spelling of 2223314129 in words is "two billion, two hundred twenty-three million, three hundred fourteen thousand, one hundred twenty-nine".