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2224204322112 = 263323463120871
BaseRepresentation
bin100000010111011100111…
…010001001010101000000
321212122001121211111102000
4200113130322021111000
5242420132301301422
64421441345424000
7316456566540603
oct40273472112500
97778047744360
102224204322112
1178830939a483
122bb09563b000
131319842bb226
147991b39633a
153cccb352cac
hex205dce89540

2224204322112 has 224 divisors, whose sum is σ = 6837835407360. Its totient is φ = 707629063680.

The previous prime is 2224204322063. The next prime is 2224204322113. The reversal of 2224204322112 is 2112234024222.

2224204322112 is a `hidden beast` number, since 2 + 2 + 2 + 420 + 4 + 3 + 221 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224204322113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18341037 + ... + 18461907.

Almost surely, 22224204322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224204322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418917703680).

2224204322112 is an abundant number, since it is smaller than the sum of its proper divisors (4613631085248).

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

2224204322112 is a wasteful number, since it uses less digits than its factorization.

2224204322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121378 (or 121362 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2224204322112 its reverse (2112234024222), we get a palindrome (4336438346334).

The spelling of 2224204322112 in words is "two trillion, two hundred twenty-four billion, two hundred four million, three hundred twenty-two thousand, one hundred twelve".