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2278289 = 1331761
BaseRepresentation
bin1000101100001110010001
311021202020002
420230032101
51040401124
6120455345
725236146
oct10541621
94252202
102278289
111316792
1291a555
1361a000
144343cd
153000ae
hex22c391

2278289 has 16 divisors (see below), whose sum is σ = 2656080. Its totient is φ = 1946880.

The previous prime is 2278277. The next prime is 2278291. The reversal of 2278289 is 9828722.

It can be written as a sum of positive squares in 8 ways, for example, as 1868689 + 409600 = 1367^2 + 640^2 .

It is not a de Polignac number, because 2278289 - 28 = 2278033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2278229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37319 + ... + 37379.

It is an arithmetic number, because the mean of its divisors is an integer number (166005).

22278289 is an apocalyptic number.

It is an amenable number.

2278289 is a deficient number, since it is larger than the sum of its proper divisors (377791).

2278289 is an equidigital number, since it uses as much as digits as its factorization.

2278289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its digits is 32256, while the sum is 38.

The square root of 2278289 is about 1509.4002120048. The cubic root of 2278289 is about 131.5839556017.

The spelling of 2278289 in words is "two million, two hundred seventy-eight thousand, two hundred eighty-nine".

Divisors: 1 13 17 61 169 221 793 1037 2197 2873 10309 13481 37349 134017 175253 2278289