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2212306005168 = 2432723596772389
BaseRepresentation
bin100000001100010111101…
…101101010110010110000
321211111100102001100222200
4200030113231222302300
5242221300314131133
64412152551303200
7315556001526120
oct40142755526260
97744312040880
102212306005168
11783263079896
122b891497ab00
131308092392bc
147910d086c80
153c8319ba913
hex20317b6acb0

2212306005168 has 480 divisors, whose sum is σ = 7522897075200. Its totient is φ = 593231468544.

The previous prime is 2212306005127. The next prime is 2212306005187. The reversal of 2212306005168 is 8615006032122.

2212306005168 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 30 + 600 + 5 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 926037318 + ... + 926039706.

It is an arithmetic number, because the mean of its divisors is an integer number (15672702240).

Almost surely, 22212306005168 is an apocalyptic number.

2212306005168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212306005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761448537600).

2212306005168 is an abundant number, since it is smaller than the sum of its proper divisors (5310591070032).

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

2212306005168 is a wasteful number, since it uses less digits than its factorization.

2212306005168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2212306005168 in words is "two trillion, two hundred twelve billion, three hundred six million, five thousand, one hundred sixty-eight".