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2222012112 = 2431131512713
BaseRepresentation
bin1000010001110001…
…0011011011010000
312201212002220120220
42010130103123100
514022313341422
61004253233040
7106030535265
oct20434233320
95655086526
102222012112
11a402a4651
12520192780
1329546a888
1417116b26c
15d0118e5c
hex847136d0

2222012112 has 80 divisors (see below), whose sum is σ = 5831495808. Its totient is φ = 728985600.

The previous prime is 2222012069. The next prime is 2222012119. The reversal of 2222012112 is 2112102222.

It is a junction number, because it is equal to n+sod(n) for n = 2222012091 and 2222012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222012119) 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, 817668 + ... + 820380.

Almost surely, 22222012112 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 2222012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915747904).

2222012112 is an abundant number, since it is smaller than the sum of its proper divisors (3609483696).

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

2222012112 is a wasteful number, since it uses less digits than its factorization.

2222012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2222012112 is about 47138.2234709795. The cubic root of 2222012112 is about 1304.9147514078.

Adding to 2222012112 its reverse (2112102222), we get a palindrome (4334114334).

The spelling of 2222012112 in words is "two billion, two hundred twenty-two million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 151 226 302 339 452 453 604 678 904 906 1208 1356 1808 1812 2416 2712 2713 3624 5424 5426 7248 8139 10852 16278 17063 21704 32556 34126 43408 51189 65112 68252 102378 130224 136504 204756 273008 306569 409512 409663 613138 819024 819326 919707 1226276 1228989 1638652 1839414 2452552 2457978 3277304 3678828 4905104 4915956 6554608 7357656 9831912 14715312 19663824 46291919 92583838 138875757 185167676 277751514 370335352 555503028 740670704 1111006056 2222012112