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2258289 = 321122811
BaseRepresentation
bin1000100111010101110001
311020201210100
420213111301
51034231124
6120223013
725123635
oct10472561
94221710
102258289
111302760
1290aa69
13610b87
1442adc5
152e91c9
hex227571

2258289 has 12 divisors (see below), whose sum is σ = 3558672. Its totient is φ = 1368600.

The previous prime is 2258287. The next prime is 2258299. The reversal of 2258289 is 9828522.

2258289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2258289 - 21 = 2258287 is a prime.

2258289 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2258287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11307 + ... + 11504.

It is an arithmetic number, because the mean of its divisors is an integer number (296556).

22258289 is an apocalyptic number.

It is an amenable number.

2258289 is a deficient number, since it is larger than the sum of its proper divisors (1300383).

2258289 is a wasteful number, since it uses less digits than its factorization.

2258289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22828 (or 22825 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2258289 is about 1502.7604599536. The cubic root of 2258289 is about 131.1977860337.

It can be divided in two parts, 22 and 58289, that added together give a triangular number (58311 = T341).

The spelling of 2258289 in words is "two million, two hundred fifty-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 11 33 99 22811 68433 205299 250921 752763 2258289