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2290908825 = 3452412673
BaseRepresentation
bin1000100010001100…
…0111111010011001
312220122202020010000
42020203013322121
514142433040300
61015154043213
7110525255322
oct21043077231
95818666100
102290908825
11a76181787
1253b279509
132a681116a
1417a383449
15d61c7c00
hex888c7e99

2290908825 has 90 divisors (see below), whose sum is σ = 4356043802. Its totient is φ = 1190246400.

The previous prime is 2290908803. The next prime is 2290908871. The reversal of 2290908825 is 5288090922.

It can be written as a sum of positive squares in 9 ways, for example, as 1969495641 + 321413184 = 44379^2 + 17928^2 .

It is not a de Polignac number, because 2290908825 - 211 = 2290906777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3403689 + ... + 3404361.

Almost surely, 22290908825 is an apocalyptic number.

2290908825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2290908825 is a deficient number, since it is larger than the sum of its proper divisors (2065134977).

2290908825 is an equidigital number, since it uses as much as digits as its factorization.

2290908825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2290908825 is about 47863.4393352588. The cubic root of 2290908825 is about 1318.2646358913.

The spelling of 2290908825 in words is "two billion, two hundred ninety million, nine hundred eight thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 205 225 369 405 615 673 675 1025 1107 1681 1845 2019 2025 3075 3321 3365 5043 5535 6057 8405 9225 10095 15129 16605 16825 18171 25215 27593 27675 30285 42025 45387 50475 54513 75645 82779 83025 90855 126075 136161 137965 151425 226935 248337 272565 378225 413895 454275 680805 689825 745011 1131313 1134675 1241685 1362825 2069475 2235033 3393939 3404025 3725055 5656565 6208425 10181817 11175165 16969695 18625275 28282825 30545451 50909085 55875825 84848475 91636353 152727255 254545425 458181765 763636275 2290908825