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2296103040 = 2732571131167
BaseRepresentation
bin1000100011011011…
…1100000010000000
312221000112010020100
42020312330002000
514200300244130
61015501242400
7110620360650
oct21066740200
95830463210
102296103040
11a790aa220
12540b63400
132a790c46a
1417ad36360
15d68a1c60
hex88dbc080

2296103040 has 768 divisors, whose sum is σ = 10265149440. Its totient is φ = 458956800.

The previous prime is 2296103027. The next prime is 2296103077. The reversal of 2296103040 is 403016922.

2296103040 is a `hidden beast` number, since 2 + 2 + 9 + 610 + 3 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2296102995 and 2296103013.

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 95 ways as a sum of consecutive naturals, for example, 13749037 + ... + 13749203.

It is an arithmetic number, because the mean of its divisors is an integer number (13366080).

Almost surely, 22296103040 is an apocalyptic number.

2296103040 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 2296103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132574720).

2296103040 is an abundant number, since it is smaller than the sum of its proper divisors (7969046400).

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

2296103040 is a wasteful number, since it uses less digits than its factorization.

2296103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2296103040 is about 47917.6693924068. The cubic root of 2296103040 is about 1319.2601915043.

Adding to 2296103040 its reverse (403016922), we get a palindrome (2699119962).

The spelling of 2296103040 in words is "two billion, two hundred ninety-six million, one hundred three thousand, forty".