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2181206016 = 21233112163
BaseRepresentation
bin1000001000000010…
…1001000000000000
312122000022202011000
42002000221000000
513431342043031
61000234452000
7105023642133
oct20200510000
95560282130
102181206016
11a1a263400
1250a594000
13289b81162
1416998821a
15cb7583e6
hex82029000

2181206016 has 312 divisors, whose sum is σ = 7146483680. Its totient is φ = 656916480.

The previous prime is 2181206011. The next prime is 2181206047. The reversal of 2181206016 is 6106021812.

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

It is not an unprimeable number, because it can be changed into a prime (2181206011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13381551 + ... + 13381713.

Almost surely, 22181206016 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 2181206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573241840).

2181206016 is an abundant number, since it is smaller than the sum of its proper divisors (4965277664).

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

2181206016 is a wasteful number, since it uses less digits than its factorization.

2181206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2181206016 is about 46703.3833463915. The cubic root of 2181206016 is about 1296.8773209198.

Adding to 2181206016 its reverse (6106021812), we get a palindrome (8287227828).

The spelling of 2181206016 in words is "two billion, one hundred eighty-one million, two hundred six thousand, sixteen".