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2289909609 = 341324092
BaseRepresentation
bin1000100001111101…
…0011111101101001
312220120212110110000
42020133103331221
514142204101414
61015120413213
7110513624211
oct21037237551
95816773400
102289909609
11a75659a89
1253aa77209
132a6551400
1417a1a3241
15d607bb09
hex887d3f69

2289909609 has 45 divisors (see below), whose sum is σ = 3713181813. Its totient is φ = 1405729728.

The previous prime is 2289909599. The next prime is 2289909731. The reversal of 2289909609 is 9069099822.

The square root of 2289909609 is 47853.

It is a perfect power (a square), and thus also a powerful number.

2289909609 is a `hidden beast` number, since 2 + 28 + 9 + 9 + 0 + 9 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21483225 + 2268426384 = 4635^2 + 47628^2 .

It is not a de Polignac number, because 2289909609 - 27 = 2289909481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2289901609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5598597 + ... + 5599005.

Almost surely, 22289909609 is an apocalyptic number.

2289909609 is the 47853-rd square number.

2289909609 is the 23927-th centered octagonal number.

It is an amenable number.

2289909609 is a deficient number, since it is larger than the sum of its proper divisors (1423272204).

2289909609 is an frugal number, since it uses more digits than its factorization.

2289909609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The cubic root of 2289909609 is about 1318.0729473849.

The spelling of 2289909609 in words is "two billion, two hundred eighty-nine million, nine hundred nine thousand, six hundred nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 409 507 1053 1227 1521 3681 4563 5317 11043 13689 15951 33129 47853 69121 143559 167281 207363 430677 501843 622089 1505529 1866267 2174653 4516587 5598801 6523959 13549761 19571877 28270489 58715631 84811467 176146893 254434401 763303203 2289909609