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2205144022144 = 2772461098239
BaseRepresentation
bin100000000101101100110…
…100110111110010000000
321210210212021111221021011
4200011230310313302000
5242112113332202034
64405010145210304
7315213344631130
oct40055464676200
97723767457234
102205144022144
11780218348a58
122b7456330994
1312cc374ca11b
1478a2dc02ac0
153c562d56864
hex2016cd37c80

2205144022144 has 32 divisors (see below), whose sum is σ = 5020640409600. Its totient is φ = 945061723392.

The previous prime is 2205144022111. The next prime is 2205144022223. The reversal of 2205144022144 is 4412204415022.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1230548224 + ... + 1230550015.

It is an arithmetic number, because the mean of its divisors is an integer number (156895012800).

Almost surely, 22205144022144 is an apocalyptic number.

It is an amenable number.

2205144022144 is an abundant number, since it is smaller than the sum of its proper divisors (2815496387456).

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

2205144022144 is an equidigital number, since it uses as much as digits as its factorization.

2205144022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461098260 (or 2461098248 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 2205144022144 its reverse (4412204415022), we get a palindrome (6617348437166).

The spelling of 2205144022144 in words is "two trillion, two hundred five billion, one hundred forty-four million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 2461098239 4922196478 9844392956 17227687673 19688785912 34455375346 39377571824 68910750692 78755143648 137821501384 157510287296 275643002768 315020574592 551286005536 1102572011072 2205144022144