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2295437768 = 2313213032
BaseRepresentation
bin1000100011010001…
…1001100111001000
312220222021022122122
42020310121213020
514200113002033
61015435110412
7110611620251
oct21064314710
95828238578
102295437768
11a78795408
125408a2408
132a7738700
1417ac01b28
15d67bea98
hex88d199c8

2295437768 has 36 divisors (see below), whose sum is σ = 4664065185. Its totient is φ = 1058619744.

The previous prime is 2295437761. The next prime is 2295437773. The reversal of 2295437768 is 8677345922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1962667204 + 332770564 = 44302^2 + 18242^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33878.

It is not an unprimeable number, because it can be changed into a prime (2295437761) 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 8 ways as a sum of consecutive naturals, for example, 1761005 + ... + 1762307.

Almost surely, 22295437768 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 2295437768

2295437768 is an abundant number, since it is smaller than the sum of its proper divisors (2368627417).

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

2295437768 is an equidigital number, since it uses as much as digits as its factorization.

2295437768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1318 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The square root of 2295437768 is about 47910.7270660757. The cubic root of 2295437768 is about 1319.1327652187.

The spelling of 2295437768 in words is "two billion, two hundred ninety-five million, four hundred thirty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1303 1352 2606 5212 10424 16939 33878 67756 135512 220207 440414 880828 1697809 1761656 3395618 6791236 13582472 22071517 44143034 88286068 176572136 286929721 573859442 1147718884 2295437768