Search a number
-
+
2667225 = 352115361
BaseRepresentation
bin1010001011001011011001
312000111202010
422023023121
51140322400
6133100133
731446111
oct12131331
95014663
102667225
111561a20
12a87649
13725052
144d6041
1537a450
hex28b2d9

2667225 has 48 divisors (see below), whose sum is σ = 4981824. Its totient is φ = 1248000.

The previous prime is 2667221. The next prime is 2667227. The reversal of 2667225 is 5227662.

2667225 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 2667225 - 22 = 2667221 is a prime.

It is a super-2 number, since 2×26672252 = 14228178401250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2667192 and 2667201.

It is not an unprimeable number, because it can be changed into a prime (2667221) 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 47 ways as a sum of consecutive naturals, for example, 43695 + ... + 43755.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

22667225 is an apocalyptic number.

2667225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2667225 is a deficient number, since it is larger than the sum of its proper divisors (2314599).

2667225 is a wasteful number, since it uses less digits than its factorization.

2667225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 133 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 2667225 is about 1633.1641068796. The cubic root of 2667225 is about 138.6819323625.

The spelling of 2667225 in words is "two million, six hundred sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 53 55 61 75 159 165 183 265 275 305 583 671 795 825 915 1325 1525 1749 2013 2915 3233 3355 3975 4575 8745 9699 10065 14575 16165 16775 35563 43725 48495 50325 80825 106689 177815 242475 533445 889075 2667225