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2296664064 = 21233191093
BaseRepresentation
bin1000100011100100…
…0101000000000000
312221001120121211000
42020321011000000
514200421222224
61015521252000
7110625215412
oct21071050000
95831517730
102296664064
11a79452782
12541194000
132a7a77926
1417b0409b2
15d69630c9
hex88e45000

2296664064 has 208 divisors, whose sum is σ = 7168763200. Its totient is φ = 724598784.

The previous prime is 2296664003. The next prime is 2296664089. The reversal of 2296664064 is 4604666922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2100702 + ... + 2101794.

Almost surely, 22296664064 is an apocalyptic number.

2296664064 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 2296664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584381600).

2296664064 is an abundant number, since it is smaller than the sum of its proper divisors (4872099136).

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

2296664064 is a wasteful number, since it uses less digits than its factorization.

2296664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2296664064 is about 47923.5230758341. The cubic root of 2296664064 is about 1319.3676309853.

The spelling of 2296664064 in words is "two billion, two hundred ninety-six million, six hundred sixty-four thousand, sixty-four".