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222144134024320 = 275347100209413
BaseRepresentation
bin110010100000100111110110…
…001100101000110010000000
31002010112202211122112111012021
4302200213312030220302000
5213104102141302234240
62104243334545011224
764535245505002024
oct6240476614506200
91063482748474167
10222144134024320
1164866886409a32
1220ab9031023b14
1396c5142cb4ab1
143cbdb95000384
151aa372aa2054a
hexca09f6328c80

222144134024320 has 32 divisors (see below), whose sum is σ = 531063320403420. Its totient is φ = 88857653609472.

The previous prime is 222144134024303. The next prime is 222144134024359. The reversal of 222144134024320 is 23420431441222.

It can be written as a sum of positive squares in 2 ways, for example, as 221898681157696 + 245452866624 = 14896264^2 + 495432^2 .

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 (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173550104067 + ... + 173550105346.

Almost surely, 2222144134024320 is an apocalyptic number.

222144134024320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222144134024320 is an abundant number, since it is smaller than the sum of its proper divisors (308919186379100).

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

222144134024320 is an equidigital number, since it uses as much as digits as its factorization.

222144134024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347100209432 (or 347100209420 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 222144134024320 its reverse (23420431441222), we get a palindrome (245564565465542).

The spelling of 222144134024320 in words is "two hundred twenty-two trillion, one hundred forty-four billion, one hundred thirty-four million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 347100209413 694200418826 1388400837652 1735501047065 2776801675304 3471002094130 5553603350608 6942004188260 11107206701216 13884008376520 22214413402432 27768016753040 44428826804864 55536033506080 111072067012160 222144134024320