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2296266720 = 2535113114029
BaseRepresentation
bin1000100011011110…
…0011111111100000
312221000211102202120
42020313203333200
514200321013340
61015504544240
7110621642106
oct21067437740
95830742676
102296266720
11a792011a0
12541022080
132a7968b07
1417ad79c76
15d68d54d0
hex88de3fe0

2296266720 has 192 divisors, whose sum is σ = 8145930240. Its totient is φ = 538675200.

The previous prime is 2296266683. The next prime is 2296266743. The reversal of 2296266720 is 276626922.

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 31 ways as a sum of consecutive naturals, for example, 156666 + ... + 170694.

It is an arithmetic number, because the mean of its divisors is an integer number (42426720).

Almost surely, 22296266720 is an apocalyptic number.

2296266720 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 2296266720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072965120).

2296266720 is an abundant number, since it is smaller than the sum of its proper divisors (5849663520).

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

2296266720 is a wasteful number, since it uses less digits than its factorization.

2296266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2296266720 is about 47919.3772914465. The cubic root of 2296266720 is about 1319.2915390198.

The spelling of 2296266720 in words is "two billion, two hundred ninety-six million, two hundred sixty-six thousand, seven hundred twenty".