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2296338720 = 2535132291607
BaseRepresentation
bin1000100011011111…
…0101100100100000
312221000222002112020
42020313311210200
514200330314340
61015510301440
7110622362034
oct21067654440
95830862466
102296338720
11a792502a5
12541057880
132a7992810
1417ad981c4
15d68eb9d0
hex88df5920

2296338720 has 192 divisors, whose sum is σ = 7828773120. Its totient is φ = 562434048.

The previous prime is 2296338719. The next prime is 2296338721. The reversal of 2296338720 is 278336922.

It is an interprime number because it is at equal distance from previous prime (2296338719) and next prime (2296338721).

It is not an unprimeable number, because it can be changed into a prime (2296338721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1428157 + ... + 1429763.

It is an arithmetic number, because the mean of its divisors is an integer number (40774860).

Almost surely, 22296338720 is an apocalyptic number.

2296338720 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 2296338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914386560).

2296338720 is an abundant number, since it is smaller than the sum of its proper divisors (5532434400).

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

2296338720 is a wasteful number, since it uses less digits than its factorization.

2296338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1859 counting only the distinct ones).

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

The square root of 2296338720 is about 47920.1285474069. The cubic root of 2296338720 is about 1319.3053277778.

The spelling of 2296338720 in words is "two billion, two hundred ninety-six million, three hundred thirty-eight thousand, seven hundred twenty".