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2222102022112 = 257181197278209
BaseRepresentation
bin100000010101011111100…
…110100000011111100000
321212102122002222120222001
4200111133212200133200
5242401331104201422
64420453010053344
7316353521354230
oct40253746403740
97772562876861
102222102022112
1178742a730365
122ba7a957a254
1313170a8a652b
147979c0abcc0
153cc069d4227
hex2055f9a07e0

2222102022112 has 96 divisors (see below), whose sum is σ = 5052890082240. Its totient is φ = 942257111040.

The previous prime is 2222102022097. The next prime is 2222102022149. The reversal of 2222102022112 is 2112202012222.

It is a self number, because there is not a number n which added to its sum of digits gives 2222102022112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7848064 + ... + 8126272.

It is an arithmetic number, because the mean of its divisors is an integer number (52634271690).

Almost surely, 22222102022112 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 2222102022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526445041120).

2222102022112 is an abundant number, since it is smaller than the sum of its proper divisors (2830788060128).

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

2222102022112 is a wasteful number, since it uses less digits than its factorization.

2222102022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278604 (or 278596 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 2222102022112 its reverse (2112202012222), we get a palindrome (4334304034334).

The spelling of 2222102022112 in words is "two trillion, two hundred twenty-two billion, one hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 197 224 362 394 724 788 1267 1379 1448 1576 2534 2758 2896 3152 5068 5516 5792 6304 10136 11032 20272 22064 35657 40544 44128 71314 142628 249599 278209 285256 499198 556418 570512 998396 1112836 1141024 1947463 1996792 2225672 3894926 3993584 4451344 7789852 7987168 8902688 15579704 31159408 50355829 54807173 62318816 100711658 109614346 201423316 219228692 352490803 383650211 402846632 438457384 704981606 767300422 805693264 876914768 1409963212 1534600844 1611386528 1753829536 2819926424 3069201688 5639852848 6138403376 9920098313 11279705696 12276806752 19840196626 39680393252 69440688191 79360786504 138881376382 158721573008 277762752764 317443146016 555525505528 1111051011056 2222102022112