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2212332112 = 243143472207
BaseRepresentation
bin1000001111011101…
…1000001001010000
312201011220010010101
42003313120021100
514012324111422
61003305542144
7105552340564
oct20367301120
95634803111
102212332112
11a35892951
12518aa4954
1329345b873
1416db6b6a4
15ce355c27
hex83dd8250

2212332112 has 80 divisors (see below), whose sum is σ = 4625989632. Its totient is φ = 1022878080.

The previous prime is 2212332103. The next prime is 2212332113. The reversal of 2212332112 is 2112332122.

It is a self number, because there is not a number n which added to its sum of digits gives 2212332112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212332113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1001313 + ... + 1003519.

Almost surely, 22212332112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312994816).

2212332112 is an abundant number, since it is smaller than the sum of its proper divisors (2413657520).

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

2212332112 is a wasteful number, since it uses less digits than its factorization.

2212332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2330 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 2212332112 is about 47035.4346424055. The cubic root of 2212332112 is about 1303.0170776689.

Adding to 2212332112 its reverse (2112332122), we get a palindrome (4324664234).

The spelling of 2212332112 in words is "two billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 43 47 62 86 94 124 172 188 248 344 376 496 688 752 1333 1457 2021 2207 2666 2914 4042 4414 5332 5828 8084 8828 10664 11656 16168 17656 21328 23312 32336 35312 62651 68417 94901 103729 125302 136834 189802 207458 250604 273668 379604 414916 501208 547336 759208 829832 1002416 1094672 1518416 1659664 2941931 3215599 4460347 5883862 6431198 8920694 11767724 12862396 17841388 23535448 25724792 35682776 47070896 51449584 71365552 138270757 276541514 553083028 1106166056 2212332112