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2212112319 = 341110916217
BaseRepresentation
bin1000001111011010…
…0010011110111111
312201011110221121220
42003312202132333
514012300043234
61003301124423
7105550434024
oct20366423677
95634427556
102212112319
11a357527aa
125189b9713
132933b2801
1416db1154b
15ce310a49
hex83da27bf

2212112319 has 16 divisors (see below), whose sum is σ = 3024332640. Its totient is φ = 1437386240.

The previous prime is 2212112299. The next prime is 2212112323. The reversal of 2212112319 is 9132112122.

It is a cyclic number.

It is not a de Polignac number, because 2212112319 - 27 = 2212112191 is a prime.

It is a super-2 number, since 2×22121123192 = 9786881823743115522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212112359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128299 + ... + 144515.

It is an arithmetic number, because the mean of its divisors is an integer number (189020790).

Almost surely, 22212112319 is an apocalyptic number.

2212112319 is a deficient number, since it is larger than the sum of its proper divisors (812220321).

2212112319 is a wasteful number, since it uses less digits than its factorization.

2212112319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17370.

The product of its digits is 432, while the sum is 24.

The square root of 2212112319 is about 47033.0981224924. The cubic root of 2212112319 is about 1302.9739250886.

It can be divided in two parts, 221 and 2112319, that added together give a triangular number (2112540 = T2055).

The spelling of 2212112319 in words is "two billion, two hundred twelve million, one hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 41 123 1109 3327 16217 45469 48651 136407 664897 1994691 17984653 53953959 737370773 2212112319