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2259590441 is a prime number
BaseRepresentation
bin1000011010101110…
…1001110100101001
312211110211002100212
42012223221310221
514111423343231
61012114510505
7106665126143
oct20653516451
95743732325
102259590441
11a5a530819
12530895435
132a0197084
1417614dc93
15d358d42b
hex86ae9d29

2259590441 has 2 divisors, whose sum is σ = 2259590442. Its totient is φ = 2259590440.

The previous prime is 2259590351. The next prime is 2259590453. The reversal of 2259590441 is 1440959522.

2259590441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2041142041 + 218448400 = 45179^2 + 14780^2 .

It is a cyclic number.

It is not a de Polignac number, because 2259590441 - 218 = 2259328297 is a prime.

It is a super-2 number, since 2×22595904412 = 10211497922117148962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2259592441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1129795220 + 1129795221.

It is an arithmetic number, because the mean of its divisors is an integer number (1129795221).

Almost surely, 22259590441 is an apocalyptic number.

It is an amenable number.

2259590441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2259590441 is an equidigital number, since it uses as much as digits as its factorization.

2259590441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 2259590441 is about 47535.1495316887. The cubic root of 2259590441 is about 1312.2298407643.

The spelling of 2259590441 in words is "two billion, two hundred fifty-nine million, five hundred ninety thousand, four hundred forty-one".