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2209796064 = 2532719311861
BaseRepresentation
bin1000001110110110…
…1100111111100000
312201000010021022200
42003231230333200
514011201433224
61003135333200
7105521646060
oct20355547740
95630107280
102209796064
11a34410543
12518081200
13292a81448
1416d6ab3a0
15ce0045c9
hex83b6cfe0

2209796064 has 288 divisors, whose sum is σ = 7807887360. Its totient is φ = 578534400.

The previous prime is 2209796011. The next prime is 2209796129. The reversal of 2209796064 is 4606979022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1186494 + ... + 1188354.

It is an arithmetic number, because the mean of its divisors is an integer number (27110720).

Almost surely, 22209796064 is an apocalyptic number.

2209796064 is a gapful number since it is divisible by the number (24) 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 2209796064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903943680).

2209796064 is an abundant number, since it is smaller than the sum of its proper divisors (5598091296).

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

2209796064 is a wasteful number, since it uses less digits than its factorization.

2209796064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2209796064 is about 47008.4680031162. The cubic root of 2209796064 is about 1302.5189943234.

The spelling of 2209796064 in words is "two billion, two hundred nine million, seven hundred ninety-six thousand, sixty-four".