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2230014071844 = 2234131946759669
BaseRepresentation
bin100000011100110111001…
…100100101010000100100
321220012001111220100210000
4200130313030211100210
5243014032100244334
64424242044501300
7320053553566506
oct40346714452044
97805044810700
102230014071844
1178a81a897439
1230023724a830
1313239bb34670
1479d0cbddd76
153d01b40a299
hex20737325424

2230014071844 has 240 divisors, whose sum is σ = 6622825809600. Its totient is φ = 648641758464.

The previous prime is 2230014071773. The next prime is 2230014071881. The reversal of 2230014071844 is 4481704100322.

2230014071844 is a `hidden beast` number, since 2 + 230 + 0 + 1 + 407 + 18 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2230014071799 and 2230014071808.

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 79 ways as a sum of consecutive naturals, for example, 37343242 + ... + 37402910.

It is an arithmetic number, because the mean of its divisors is an integer number (27595107540).

Almost surely, 22230014071844 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 2230014071844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311412904800).

2230014071844 is an abundant number, since it is smaller than the sum of its proper divisors (4392811737756).

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

2230014071844 is a wasteful number, since it uses less digits than its factorization.

2230014071844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60184 (or 60173 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2230014071844 in words is "two trillion, two hundred thirty billion, fourteen million, seventy-one thousand, eight hundred forty-four".