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2212071282 = 23553157547
BaseRepresentation
bin1000001111011001…
…1000011101110010
312201011101212100000
42003312120131302
514012242240112
61003300210430
7105550203261
oct20366303562
95634355300
102212071282
11a35724993
12518999a16
13293399c25
1416db005d8
15ce3037dc
hex83d98772

2212071282 has 96 divisors (see below), whose sum is σ = 5105685312. Its totient is φ = 717522624.

The previous prime is 2212071271. The next prime is 2212071311. The reversal of 2212071282 is 2821702122.

2212071282 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043733 + ... + 4044279.

It is an arithmetic number, because the mean of its divisors is an integer number (53184222).

Almost surely, 22212071282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212071282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552842656).

2212071282 is an abundant number, since it is smaller than the sum of its proper divisors (2893614030).

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

2212071282 is a wasteful number, since it uses less digits than its factorization.

2212071282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2212071282 is about 47032.6618638580. The cubic root of 2212071282 is about 1302.9658678619.

The spelling of 2212071282 in words is "two billion, two hundred twelve million, seventy-one thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 157 159 162 243 314 318 471 477 486 547 942 954 1094 1413 1431 1641 2826 2862 3282 4239 4293 4923 8321 8478 8586 9846 12717 12879 14769 16642 24963 25434 25758 28991 29538 38151 44307 49926 57982 74889 76302 85879 86973 88614 132921 149778 171758 173946 224667 257637 260919 265842 449334 515274 521838 674001 772911 782757 1348002 1545822 1565514 2022003 2318733 2348271 4044006 4551587 4637466 4696542 6956199 7044813 9103174 13654761 13912398 14089626 20868597 27309522 40964283 41737194 81928566 122892849 245785698 368678547 737357094 1106035641 2212071282