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2212214334 = 23111131911553
BaseRepresentation
bin1000001111011011…
…1011011000111110
312201011200010120020
42003312323120332
514012311324314
61003303233010
7105551340321
oct20366733076
95634603506
102212214334
11a35812410
12518a48766
1329341a085
1416db3a7b8
15ce330da9
hex83dbb63e

2212214334 has 64 divisors (see below), whose sum is σ = 4898009088. Its totient is φ = 660531200.

The previous prime is 2212214317. The next prime is 2212214339. The reversal of 2212214334 is 4334122122.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212214339) 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 31 ways as a sum of consecutive naturals, for example, 1423702 + ... + 1425254.

It is an arithmetic number, because the mean of its divisors is an integer number (76531392).

Almost surely, 22212214334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212214334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449004544).

2212214334 is an abundant number, since it is smaller than the sum of its proper divisors (2685794754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2212214334 is a wasteful number, since it uses less digits than its factorization.

2212214334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873.

The product of its digits is 2304, while the sum is 24.

The square root of 2212214334 is about 47034.1826122236. The cubic root of 2212214334 is about 1302.9939543371.

Adding to 2212214334 its reverse (4334122122), we get a palindrome (6546336456).

The spelling of 2212214334 in words is "two billion, two hundred twelve million, two hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 113 191 226 339 382 573 678 1146 1243 1553 2101 2486 3106 3729 4202 4659 6303 7458 9318 12606 17083 21583 34166 43166 51249 64749 102498 129498 175489 237413 296623 350978 474826 526467 593246 712239 889869 1052934 1424478 1779738 1930379 3262853 3860758 5791137 6525706 9788559 11582274 19577118 33518399 67036798 100555197 201110394 368702389 737404778 1106107167 2212214334