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221222440101440 = 2652602126567777
BaseRepresentation
bin110010010011001101011100…
…111101010110011001000000
31002000021122210012210221100202
4302103031130331112121000
5212444002024131221230
62102300104101304332
764411536202632641
oct6223153475263100
91060248705727322
10221222440101440
1164540a011a8858
122098a4837050a8
139659256c2193b
143c8b31a78d6c8
151a89783bc4a45
hexc9335cf56640

221222440101440 has 56 divisors (see below), whose sum is σ = 526806199966392. Its totient is φ = 88485572034560.

The previous prime is 221222440101437. The next prime is 221222440101497. The reversal of 221222440101440 is 44101044222122.

It can be written as a sum of positive squares in 4 ways, for example, as 136854247134784 + 84368192966656 = 11698472^2 + 9185216^2 .

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 7 ways as a sum of consecutive naturals, for example, 4957169 + ... + 21610608.

Almost surely, 2221222440101440 is an apocalyptic number.

221222440101440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222440101440 is an abundant number, since it is smaller than the sum of its proper divisors (305583759864952).

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

221222440101440 is a wasteful number, since it uses less digits than its factorization.

221222440101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26593815 (or 26593805 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 221222440101440 its reverse (44101044222122), we get a palindrome (265323484323562).

The spelling of 221222440101440 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, four hundred forty million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 26021 52042 104084 130105 208168 260210 416336 520420 832672 1040840 1665344 2081680 4163360 8326720 26567777 53135554 106271108 132838885 212542216 265677770 425084432 531355540 850168864 1062711080 1700337728 2125422160 4250844320 8501688640 691320125317 1382640250634 2765280501268 3456600626585 5530561002536 6913201253170 11061122005072 13826402506340 22122244010144 27652805012680 44244488020288 55305610025360 110611220050720 221222440101440