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2286141 = 31113732
BaseRepresentation
bin1000101110001000111101
311022010222220
420232020331
51041124031
6120555553
725301064
oct10561075
94263886
102286141
111321680
12922bb9
13620760
144371db
15302596
hex22e23d

2286141 has 24 divisors (see below), whose sum is σ = 3630816. Its totient is φ = 1261440.

The previous prime is 2286139. The next prime is 2286149. The reversal of 2286141 is 1416822.

2286141 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 2286141 - 21 = 2286139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2286149) 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, 31281 + ... + 31353.

It is an arithmetic number, because the mean of its divisors is an integer number (151284).

22286141 is an apocalyptic number.

It is an amenable number.

2286141 is a deficient number, since it is larger than the sum of its proper divisors (1344675).

2286141 is a wasteful number, since it uses less digits than its factorization.

2286141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 100 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 2286141 is about 1511.9990079362. Note that the first 3 decimals coincide. The cubic root of 2286141 is about 131.7349479376.

The spelling of 2286141 in words is "two million, two hundred eighty-six thousand, one hundred forty-one".

Divisors: 1 3 11 13 33 39 73 143 219 429 803 949 2409 2847 5329 10439 15987 31317 58619 69277 175857 207831 762047 2286141