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2213412319 is a prime number
BaseRepresentation
bin1000001111101101…
…1111110111011111
312201020220222220001
42003323133313133
514013113143234
61003345035131
7105564460066
oct20373376737
95636828801
102213412319
11a36460488
12519325aa7
13293749441
1416dd6d1dd
15ce4bad14
hex83edfddf

2213412319 has 2 divisors, whose sum is σ = 2213412320. Its totient is φ = 2213412318.

The previous prime is 2213412301. The next prime is 2213412323. The reversal of 2213412319 is 9132143122.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2213412319 - 29 = 2213411807 is a prime.

It is a super-2 number, since 2×22134123192 = 9798388187801915522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213415319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106706159 + 1106706160.

It is an arithmetic number, because the mean of its divisors is an integer number (1106706160).

Almost surely, 22213412319 is an apocalyptic number.

2213412319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213412319 is an equidigital number, since it uses as much as digits as its factorization.

2213412319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 2213412319 is about 47046.9161476074. The cubic root of 2213412319 is about 1303.2291162292.

It can be divided in two parts, 22134 and 12319, that added together give a triangular number (34453 = T262).

The spelling of 2213412319 in words is "two billion, two hundred thirteen million, four hundred twelve thousand, three hundred nineteen".