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2210009472 = 2732111967137
BaseRepresentation
bin1000001110111010…
…0001000110000000
312201000112010001200
42003232201012000
514011230300342
61003144101200
7105523525206
oct20356410600
95630463050
102210009472
11a34546910
12518164800
13292b27618
1416d725076
15ce04794c
hex83ba1180

2210009472 has 384 divisors, whose sum is σ = 7465910400. Its totient is φ = 620421120.

The previous prime is 2210009413. The next prime is 2210009521. The reversal of 2210009472 is 2749000122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16131388 + ... + 16131524.

It is an arithmetic number, because the mean of its divisors is an integer number (19442475).

Almost surely, 22210009472 is an apocalyptic number.

2210009472 is a gapful number since it is divisible by the number (22) 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 2210009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732955200).

2210009472 is an abundant number, since it is smaller than the sum of its proper divisors (5255900928).

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

2210009472 is a wasteful number, since it uses less digits than its factorization.

2210009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2210009472 is about 47010.7378372218. The cubic root of 2210009472 is about 1302.5609226308.

Adding to 2210009472 its reverse (2749000122), we get a palindrome (4959009594).

The spelling of 2210009472 in words is "two billion, two hundred ten million, nine thousand, four hundred seventy-two".