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2222111112 = 2331341271641
BaseRepresentation
bin1000010001110010…
…1011100110001000
312201212021221101120
42010130223212020
514022330023422
61004255315240
7106031430024
oct20434534610
95655257346
102222111112
11a40361a71
1252021bb20
132954a3960
14171195384
15d013845c
hex8472b988

2222111112 has 128 divisors (see below), whose sum is σ = 6160734720. Its totient is φ = 663552000.

The previous prime is 2222111107. The next prime is 2222111113. The reversal of 2222111112 is 2111112222.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2222111091 and 2222111100.

It is not an unprimeable number, because it can be changed into a prime (2222111113) 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 31 ways as a sum of consecutive naturals, for example, 3466312 + ... + 3466952.

It is an arithmetic number, because the mean of its divisors is an integer number (48130740).

Almost surely, 22222111112 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 2222111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3080367360).

2222111112 is an abundant number, since it is smaller than the sum of its proper divisors (3938623608).

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

2222111112 is a wasteful number, since it uses less digits than its factorization.

2222111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 971 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 2222111112 is about 47139.2735624978. The cubic root of 2222111112 is about 1304.9341309365.

Adding to 2222111112 its reverse (2111112222), we get a palindrome (4333223334).

It can be divided in two parts, 22221 and 11112, that added together give a palindrome (33333).

The spelling of 2222111112 in words is "two billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 271 312 328 492 533 542 641 813 984 1066 1084 1282 1599 1626 1923 2132 2168 2564 3198 3252 3523 3846 4264 5128 6396 6504 7046 7692 8333 10569 11111 12792 14092 15384 16666 21138 22222 24999 26281 28184 33332 33333 42276 44444 49998 52562 66664 66666 78843 84552 88888 99996 105124 133332 144443 157686 173711 199992 210248 266664 288886 315372 341653 347422 433329 521133 577772 630744 683306 694844 866658 1024959 1042266 1155544 1366612 1389688 1733316 2049918 2084532 2258243 2733224 3466632 4099836 4169064 4516486 6774729 7122151 8199672 9032972 13549458 14244302 18065944 21366453 27098916 28488604 42732906 54197832 56977208 85465812 92587963 170931624 185175926 277763889 370351852 555527778 740703704 1111055556 2222111112