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2296242720 = 2532519234189
BaseRepresentation
bin1000100011011101…
…1110001000100000
312221000210012211200
42020313132020200
514200314231340
61015504241200
7110621512122
oct21067361040
95830705750
102296242720
11a79195162
12541010200
132a795ac05
1417ad71212
15d68cd330
hex88dde220

2296242720 has 576 divisors, whose sum is σ = 8915961600. Its totient is φ = 535265280.

The previous prime is 2296242719. The next prime is 2296242721. The reversal of 2296242720 is 272426922.

2296242720 is a `hidden beast` number, since 2 + 2 + 9 + 624 + 2 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2296242719) and next prime (2296242721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2296242721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25800436 + ... + 25800524.

It is an arithmetic number, because the mean of its divisors is an integer number (15479100).

Almost surely, 22296242720 is an apocalyptic number.

2296242720 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 2296242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457980800).

2296242720 is an abundant number, since it is smaller than the sum of its proper divisors (6619718880).

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

2296242720 is a wasteful number, since it uses less digits than its factorization.

2296242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2296242720 is about 47919.1268701758. The cubic root of 2296242720 is about 1319.2869427031.

The spelling of 2296242720 in words is "two billion, two hundred ninety-six million, two hundred forty-two thousand, seven hundred twenty".