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2213221311 = 32783423259
BaseRepresentation
bin1000001111101011…
…0001001110111111
312201020120021212200
42003322301032333
514013041040221
61003341002543
7105563033160
oct20372611677
95636507780
102213221311
11a3633aa24
12519253453
132936b0512
1416dd1d767
15ce47e426
hex83eb13bf

2213221311 has 24 divisors (see below), whose sum is σ = 3697599360. Its totient is φ = 1249457616.

The previous prime is 2213221271. The next prime is 2213221349. The reversal of 2213221311 is 1131223122.

It is not a de Polignac number, because 2213221311 - 27 = 2213221183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213229311) 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 23 ways as a sum of consecutive naturals, for example, 206401 + ... + 216858.

It is an arithmetic number, because the mean of its divisors is an integer number (154066640).

Almost surely, 22213221311 is an apocalyptic number.

2213221311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2213221311 is a deficient number, since it is larger than the sum of its proper divisors (1484378049).

2213221311 is a wasteful number, since it uses less digits than its factorization.

2213221311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423355 (or 423352 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2213221311 is about 47044.8861301630. The cubic root of 2213221311 is about 1303.1916274544.

Adding to 2213221311 its reverse (1131223122), we get a palindrome (3344444433).

The spelling of 2213221311 in words is "two billion, two hundred thirteen million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 5229 423259 1269777 2962813 3809331 8888439 26665317 35130497 105391491 245913479 316174473 737740437 2213221311