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222002202222112 = 25134657544121061
BaseRepresentation
bin110010011110100011101010…
…011001110001111000100000
31002010001012111011210220000011
4302132203222121301320200
5213044241002232101422
62104054223113534304
764522062345410224
oct6236435231617040
91063035434726004
10222002202222112
1164811672629244
1220a95620414394
1396b4944135b90
143cb6d6cdca784
151a9ebc040d077
hexc9e8ea671e20

222002202222112 has 96 divisors (see below), whose sum is σ = 470897316139824. Its totient is φ = 102416862412800.

The previous prime is 222002202222109. The next prime is 222002202222121. The reversal of 222002202222112 is 211222202200222.

It can be written as a sum of positive squares in 8 ways, for example, as 123966935793936 + 98035266428176 = 11134044^2 + 9901276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10540904062 + ... + 10540925122.

Almost surely, 2222002202222112 is an apocalyptic number.

It is an amenable number.

222002202222112 is an abundant number, since it is smaller than the sum of its proper divisors (248895113917712).

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

222002202222112 is a wasteful number, since it uses less digits than its factorization.

222002202222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31182 (or 31174 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 222002202222112 its reverse (211222202200222), we get a palindrome (433224404422334).

The spelling of 222002202222112 in words is "two hundred twenty-two trillion, two billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 4657 5441 9314 10882 18628 21061 21764 37256 42122 43528 60541 70733 74512 84244 87056 121082 141466 149024 168488 174112 242164 273793 282932 336976 484328 547586 565864 673952 968656 1095172 1131728 1937312 2190344 2263456 4380688 8761376 25338737 50677474 98081077 101354948 114592901 196162154 202709896 229185802 329403581 392324308 405419792 458371604 658807162 784648616 810839584 916743208 1275054001 1317614324 1489707713 1569297232 1833486416 2550108002 2635228648 2979415426 3138594464 3666972832 5100216004 5270457296 5958830852 10200432008 10540914592 11917661704 20400864016 23835323408 40801728032 47670646816 533659139957 1067318279914 2134636559828 4269273119656 6937568819441 8538546239312 13875137638882 17077092478624 27750275277764 55500550555528 111001101111056 222002202222112