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2289335409 = 324123892
BaseRepresentation
bin1000100001110100…
…0111110001110001
312220112210021210100
42020131013301301
514142032213114
61015100223013
7110506013154
oct21035076161
95815707710
102289335409
11a752a7639
1253a83aa69
132a63acc4a
1417a093c9b
15d5eb6909
hex88747c71

2289335409 has 27 divisors (see below), whose sum is σ = 3398174689. Its totient is φ = 1485170880.

The previous prime is 2289335353. The next prime is 2289335423. The reversal of 2289335409 is 9045339822.

It is a happy number.

The square root of 2289335409 is 47847.

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

2289335409 is a `hidden beast` number, since 22 + 89 + 3 + 3 + 540 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1274275809 + 1015059600 = 35697^2 + 31860^2 .

It is not a de Polignac number, because 2289335409 - 27 = 2289335281 is a prime.

It is a super-2 number, since 2×22893354092 = 10482113229802394562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2289335459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5884987 + ... + 5885375.

Almost surely, 22289335409 is an apocalyptic number.

2289335409 is the 47847-th square number.

2289335409 is the 23924-th centered octagonal number.

It is an amenable number.

2289335409 is a deficient number, since it is larger than the sum of its proper divisors (1108839280).

2289335409 is an frugal number, since it uses more digits than its factorization.

2289335409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The cubic root of 2289335409 is about 1317.9627682535.

The spelling of 2289335409 in words is "two billion, two hundred eighty-nine million, three hundred thirty-five thousand, four hundred nine".

Divisors: 1 3 9 41 123 369 389 1167 1681 3501 5043 15129 15949 47847 143541 151321 453963 653909 1361889 1961727 5885181 6204161 18612483 55837449 254370601 763111803 2289335409