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2282345 = 51323773
BaseRepresentation
bin1000101101001101101001
311021221210022
420231031221
51041013340
6120530225
725254032
oct10551551
94257708
102282345
11131983a
12920975
1361bb00
14435a89
153013b5
hex22d369

2282345 has 24 divisors (see below), whose sum is σ = 3087576. Its totient is φ = 1617408.

The previous prime is 2282341. The next prime is 2282381. The reversal of 2282345 is 5432822.

2282345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 712336 + 1570009 = 844^2 + 1253^2 .

It is not a de Polignac number, because 2282345 - 22 = 2282341 is a prime.

Its product of digits (3840) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2282341) 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, 31229 + ... + 31301.

It is an arithmetic number, because the mean of its divisors is an integer number (128649).

22282345 is an apocalyptic number.

It is an amenable number.

2282345 is a deficient number, since it is larger than the sum of its proper divisors (805231).

2282345 is a wasteful number, since it uses less digits than its factorization.

2282345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 2282345 is about 1510.7431945900. The cubic root of 2282345 is about 131.6619948849.

The spelling of 2282345 in words is "two million, two hundred eighty-two thousand, three hundred forty-five".

Divisors: 1 5 13 37 65 73 169 185 365 481 845 949 2405 2701 4745 6253 12337 13505 31265 35113 61685 175565 456469 2282345