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2442002222016 = 2632713131314771
BaseRepresentation
bin100011100010010010101…
…011001100101111000000
322122110020100000011201100
4203202102223030233000
5310002210032101031
65105501302334400
7341300043254610
oct43422253145700
98573210004640
102442002222016
11861713656265
1233533972a400
131493839c9806
148629d0d6a40
15437c705dde6
hex23892accbc0

2442002222016 has 336 divisors, whose sum is σ = 8086860258048. Its totient is φ = 690130022400.

The previous prime is 2442002221999. The next prime is 2442002222021. The reversal of 2442002222016 is 6102222002442.

2442002222016 is a `hidden beast` number, since 2 + 4 + 420 + 0 + 2 + 2 + 220 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165316711 + ... + 165331481.

Almost surely, 22442002222016 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 2442002222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043430129024).

2442002222016 is an abundant number, since it is smaller than the sum of its proper divisors (5644858036032).

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

2442002222016 is a wasteful number, since it uses less digits than its factorization.

2442002222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15227 counting only the distinct ones).

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

Adding to 2442002222016 its reverse (6102222002442), we get a palindrome (8544224224458).

The spelling of 2442002222016 in words is "two trillion, four hundred forty-two billion, two million, two hundred twenty-two thousand, sixteen".