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211422222224112 = 24328499154553831
BaseRepresentation
bin110000000100100110010010…
…011101000000101011110000
31000201120202201011220001112010
4300010212102131000223300
5210202420202342132422
62025354010020402520
762350515521266434
oct6004462235005360
91021522634801463
10211422222224112
116140272a752529
121b867062546440
1390c8050c0c0b3
143a2cc668289c4
15196989d019b0c
hexc04992740af0

211422222224112 has 40 divisors (see below), whose sum is σ = 546193242288000. Its totient is φ = 70471600757440.

The previous prime is 211422222224099. The next prime is 211422222224149.

211422222224112 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211422222224112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75908964 + ... + 78644867.

It is an arithmetic number, because the mean of its divisors is an integer number (13654831057200).

Almost surely, 2211422222224112 is an apocalyptic number.

It is an amenable number.

211422222224112 is an abundant number, since it is smaller than the sum of its proper divisors (334771020063888).

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

211422222224112 is a wasteful number, since it uses less digits than its factorization.

211422222224112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154582341 (or 154582335 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The spelling of 211422222224112 in words is "two hundred eleven trillion, four hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 28499 56998 85497 113996 170994 227992 341988 455984 683976 1367952 154553831 309107662 463661493 618215324 927322986 1236430648 1854645972 2472861296 3709291944 7418583888 4404629629669 8809259259338 13213888889007 17618518518676 26427777778014 35237037037352 52855555556028 70474074074704 105711111112056 211422222224112