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2212112221 = 111913038123
BaseRepresentation
bin1000001111011010…
…0010011101011101
312201011110221111021
42003312202131131
514012300042341
61003301124141
7105550433524
oct20366423535
95634427437
102212112221
11a35752720
125189b9651
132933b2757
1416db114bb
15ce3109d1
hex83da275d

2212112221 has 16 divisors (see below), whose sum is σ = 2542487040. Its totient is φ = 1903471920.

The previous prime is 2212112197. The next prime is 2212112261. The reversal of 2212112221 is 1222112122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2212112221 - 27 = 2212112093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2212112195 and 2212112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212112261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268266 + ... + 276388.

It is an arithmetic number, because the mean of its divisors is an integer number (158905440).

Almost surely, 22212112221 is an apocalyptic number.

It is an amenable number.

2212112221 is a deficient number, since it is larger than the sum of its proper divisors (330374819).

2212112221 is a wasteful number, since it uses less digits than its factorization.

2212112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456.

The product of its digits is 64, while the sum is 16.

The square root of 2212112221 is about 47033.0970806729. The cubic root of 2212112221 is about 1302.9739058474.

Adding to 2212112221 its reverse (1222112122), we get a palindrome (3434224343).

Subtracting from 2212112221 its reverse (1222112122), we obtain a palindrome (990000099).

The spelling of 2212112221 in words is "two billion, two hundred twelve million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 11 19 209 1303 8123 14333 24757 89353 154337 272327 1697707 10584269 116426959 201101111 2212112221