Search a number
-
+
2288468 = 227136287
BaseRepresentation
bin1000101110101101010100
311022021012002
420232231110
51041212333
6121014432
725310630
oct10565524
94267162
102288468
1113233a6
12924418
13621830
14437dc0
153030e8
hex22eb54

2288468 has 24 divisors (see below), whose sum is σ = 4929792. Its totient is φ = 905184.

The previous prime is 2288467. The next prime is 2288471. The reversal of 2288468 is 8648822.

2288468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288467) 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 7 ways as a sum of consecutive naturals, for example, 2780 + ... + 3507.

It is an arithmetic number, because the mean of its divisors is an integer number (205408).

22288468 is an apocalyptic number.

2288468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2288468 is an abundant number, since it is smaller than the sum of its proper divisors (2641324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2288468 is a wasteful number, since it uses less digits than its factorization.

2288468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6311 (or 6309 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 2288468 is about 1512.7683233066. The cubic root of 2288468 is about 131.7796292402.

The spelling of 2288468 in words is "two million, two hundred eighty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 6287 12574 25148 44009 81731 88018 163462 176036 326924 572117 1144234 2288468