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289870225 = 5229735477
BaseRepresentation
bin10001010001110…
…001000110010001
3202012102221012021
4101101301012101
51043201321400
644432531441
710116566461
oct2121610621
9665387167
10289870225
11139695877
12810b0b81
1348092158
142a6d7ba1
151a6ac71a
hex11471191

289870225 has 24 divisors (see below), whose sum is σ = 376995960. Its totient is φ = 220792320.

The previous prime is 289870223. The next prime is 289870237. The reversal of 289870225 is 522078982.

It can be written as a sum of positive squares in 12 ways, for example, as 3448449 + 286421776 = 1857^2 + 16924^2 .

It is not a de Polignac number, because 289870225 - 21 = 289870223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289870223) 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 23 ways as a sum of consecutive naturals, for example, 50187 + ... + 55663.

It is an arithmetic number, because the mean of its divisors is an integer number (15708165).

Almost surely, 2289870225 is an apocalyptic number.

289870225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

289870225 is a deficient number, since it is larger than the sum of its proper divisors (87125735).

289870225 is a wasteful number, since it uses less digits than its factorization.

289870225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 289870225 is about 17025.5756143515. The cubic root of 289870225 is about 661.8118450739.

The spelling of 289870225 in words is "two hundred eighty-nine million, eight hundred seventy thousand, two hundred twenty-five".

Divisors: 1 5 25 29 73 145 365 725 1825 2117 5477 10585 27385 52925 136925 158833 399821 794165 1999105 3970825 9995525 11594809 57974045 289870225