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2295996816 = 243293744579
BaseRepresentation
bin1000100011011010…
…0010000110010000
312221000022201112010
42020312202012100
514200233344231
61015455102520
7110616436161
oct21066420620
95830281463
102295996816
11a79037433
12540b11a40
132a78a2cc9
1417ad09768
15d6880546
hex88da2190

2295996816 has 80 divisors (see below), whose sum is σ = 6301828800. Its totient is φ = 718953984.

The previous prime is 2295996811. The next prime is 2295996847. The reversal of 2295996816 is 6186995922.

It is not an unprimeable number, because it can be changed into a prime (2295996811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29215 + ... + 73793.

It is an arithmetic number, because the mean of its divisors is an integer number (78772860).

Almost surely, 22295996816 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 2295996816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150914400).

2295996816 is an abundant number, since it is smaller than the sum of its proper divisors (4005831984).

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

2295996816 is a wasteful number, since it uses less digits than its factorization.

2295996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44656 (or 44650 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 57.

The square root of 2295996816 is about 47916.5609784342. The cubic root of 2295996816 is about 1319.2398469969.

The spelling of 2295996816 in words is "two billion, two hundred ninety-five million, nine hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 696 888 1073 1392 1776 2146 3219 4292 6438 8584 12876 17168 25752 44579 51504 89158 133737 178316 267474 356632 534948 713264 1069896 1292791 1649423 2139792 2585582 3298846 3878373 4948269 5171164 6597692 7756746 9896538 10342328 13195384 15513492 19793076 20684656 26390768 31026984 39586152 47833267 62053968 79172304 95666534 143499801 191333068 286999602 382666136 573999204 765332272 1147998408 2295996816