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2146222080 = 2143254171
BaseRepresentation
bin111111111101100…
…1100000000000000
312112120111101012200
41333323030000000
513343413101310
6552544553200
7104120405142
oct17773140000
95476441180
102146222080
11a01539462
124ba922800
132828527c2
1416507cc92
15c86479c0
hex7fecc000

2146222080 has 360 divisors, whose sum is σ = 7728817824. Its totient is φ = 550502400.

The previous prime is 2146222073. The next prime is 2146222093. The reversal of 2146222080 is 802226412.

It is a happy number.

2146222080 is a `hidden beast` number, since 2 + 14 + 622 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30228445 + ... + 30228515.

Almost surely, 22146222080 is an apocalyptic number.

2146222080 is a gapful number since it is divisible by the number (20) 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 2146222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864408912).

2146222080 is an abundant number, since it is smaller than the sum of its proper divisors (5582595744).

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

2146222080 is an equidigital number, since it uses as much as digits as its factorization.

2146222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2146222080 is about 46327.3362066070. The cubic root of 2146222080 is about 1289.9064651850.

Adding to 2146222080 its reverse (802226412), we get a palindrome (2948448492).

The spelling of 2146222080 in words is "two billion, one hundred forty-six million, two hundred twenty-two thousand, eighty".