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2295028320 = 2535132315991
BaseRepresentation
bin1000100011001011…
…0101101001100000
312220221111111222220
42020302311221200
514200011401240
61015422231040
7110605263444
oct21062655140
95827444886
102295028320
11a78535822
12540725480
132a7624230
1417ab36824
15d673d5d0
hex88cb5a60

2295028320 has 192 divisors, whose sum is σ = 8124447744. Its totient is φ = 540334080.

The previous prime is 2295028319. The next prime is 2295028327. The reversal of 2295028320 is 238205922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2295028327) 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 31 ways as a sum of consecutive naturals, for example, 135525 + ... + 151515.

It is an arithmetic number, because the mean of its divisors is an integer number (42314832).

Almost surely, 22295028320 is an apocalyptic number.

2295028320 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 2295028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062223872).

2295028320 is an abundant number, since it is smaller than the sum of its proper divisors (5829419424).

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

2295028320 is a wasteful number, since it uses less digits than its factorization.

2295028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045 (or 16037 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2295028320 is about 47906.4538449675. The cubic root of 2295028320 is about 1319.0543272555.

The spelling of 2295028320 in words is "two billion, two hundred ninety-five million, twenty-eight thousand, three hundred twenty".