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2258984249 is a prime number
BaseRepresentation
bin1000011010100101…
…0101110100111001
312211102200021211022
42012221111310321
514111244443444
61012053512225
7106660022624
oct20651256471
95742607738
102258984249
11a5a157335
12530642675
132a0014192
14176032dbb
15d34bd9ee
hex86a55d39

2258984249 has 2 divisors, whose sum is σ = 2258984250. Its totient is φ = 2258984248.

The previous prime is 2258984219. The next prime is 2258984251. The reversal of 2258984249 is 9424898522.

2258984249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2224820224 + 34164025 = 47168^2 + 5845^2 .

It is a cyclic number.

It is not a de Polignac number, because 2258984249 - 212 = 2258980153 is a prime.

Together with 2258984251, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2258984249.

It is not a weakly prime, because it can be changed into another prime (2258984219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1129492124 + 1129492125.

It is an arithmetic number, because the mean of its divisors is an integer number (1129492125).

Almost surely, 22258984249 is an apocalyptic number.

It is an amenable number.

2258984249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2258984249 is an equidigital number, since it uses as much as digits as its factorization.

2258984249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3317760, while the sum is 53.

The square root of 2258984249 is about 47528.7728539250. The cubic root of 2258984249 is about 1312.1124840430.

The spelling of 2258984249 in words is "two billion, two hundred fifty-eight million, nine hundred eighty-four thousand, two hundred forty-nine".