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2295041616 = 2432721719253
BaseRepresentation
bin1000100011001011…
…1000111001010000
312220221112012020100
42020302320321100
514200012312431
61015422412400
7110605350300
oct21062707120
95827465210
102295041616
11a7854480a
12540731100
132a762a2ba
1417ab3b600
15d67424e6
hex88cb8e50

2295041616 has 540 divisors, whose sum is σ = 8506896372. Its totient is φ = 573640704.

The previous prime is 2295041533. The next prime is 2295041627. The reversal of 2295041616 is 6161405922.

2295041616 is a `hidden beast` number, since 229 + 5 + 0 + 416 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1721918016 + 573123600 = 41496^2 + 23940^2 .

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

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 43302646 + ... + 43302698.

Almost surely, 22295041616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2295041616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253448186).

2295041616 is an abundant number, since it is smaller than the sum of its proper divisors (6211854756).

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

2295041616 is a wasteful number, since it uses less digits than its factorization.

2295041616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2295041616 is about 47906.5926152132. The cubic root of 2295041616 is about 1319.0568745171.

The spelling of 2295041616 in words is "two billion, two hundred ninety-five million, forty-one thousand, six hundred sixteen".