Search a number
-
+
2217069 = 321811361
BaseRepresentation
bin1000011101010001101101
311011122020200
420131101231
51031421234
6115304113
724562521
oct10352155
94148220
102217069
111284798
128ab039
135c819a
14419d81
152dbd99
hex21d46d

2217069 has 12 divisors (see below), whose sum is σ = 3222492. Its totient is φ = 1468800.

The previous prime is 2217067. The next prime is 2217073. The reversal of 2217069 is 9607122.

2217069 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 2 ways, for example, as 152100 + 2064969 = 390^2 + 1437^2 .

It is not a de Polignac number, because 2217069 - 21 = 2217067 is a prime.

It is a super-2 number, since 2×22170692 = 9830789901522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

2217069 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2217067) 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 11 ways as a sum of consecutive naturals, for example, 949 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (268541).

22217069 is an apocalyptic number.

It is an amenable number.

2217069 is a deficient number, since it is larger than the sum of its proper divisors (1005423).

2217069 is a wasteful number, since it uses less digits than its factorization.

2217069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2217069 is about 1488.9825385141. The cubic root of 2217069 is about 130.3946390522.

The spelling of 2217069 in words is "two million, two hundred seventeen thousand, sixty-nine".

Divisors: 1 3 9 181 543 1361 1629 4083 12249 246341 739023 2217069