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221320204404 = 223136121231779
BaseRepresentation
bin1100111000011110110…
…1100101000001110100
3210011021012000021201120
43032013231211001310
512111230433020104
6245401220023540
721663343461225
oct3160755450164
9704235007646
10221320204404
1185952538342
1236a87831bb0
1317b41387240
14a9d786724c
155b55071cd9
hex3387b65074

221320204404 has 48 divisors (see below), whose sum is σ = 556231206720. Its totient is φ = 68087105280.

The previous prime is 221320204297. The next prime is 221320204433. The reversal of 221320204404 is 404402023122.

221320204404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 838987 + ... + 1070765.

It is an arithmetic number, because the mean of its divisors is an integer number (11588150140).

Almost surely, 2221320204404 is an apocalyptic number.

It is an amenable number.

221320204404 is an abundant number, since it is smaller than the sum of its proper divisors (334911002316).

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

221320204404 is a wasteful number, since it uses less digits than its factorization.

221320204404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237920 (or 237918 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 221320204404 its reverse (404402023122), we get a palindrome (625722227526).

The spelling of 221320204404 in words is "two hundred twenty-one billion, three hundred twenty million, two hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 6121 12242 18363 24484 36726 73452 79573 159146 231779 238719 318292 463558 477438 695337 927116 954876 1390674 2781348 3013127 6026254 9039381 12052508 18078762 36157524 1418719259 2837438518 4256157777 5674877036 8512315554 17024631108 18443350367 36886700734 55330051101 73773401468 110660102202 221320204404