Search a number
-
+
2233665 = 325721013
BaseRepresentation
bin1000100001010101000001
311012111000100
420201111001
51032434130
6115513013
724662100
oct10412501
94174010
102233665
111296205
128b8769
136028c5
14422037
152e1c60
hex221541

2233665 has 36 divisors (see below), whose sum is σ = 4508244. Its totient is φ = 1020096.

The previous prime is 2233657. The next prime is 2233709. The reversal of 2233665 is 5663322.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 1979649 = 504^2 + 1407^2 .

It is not a de Polignac number, because 2233665 - 23 = 2233657 is a prime.

It is a d-powerful number, because it can be written as 25 + 29 + 33 + 33 + 6 + 67 + 59 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1699 + ... + 2711.

It is an arithmetic number, because the mean of its divisors is an integer number (125229).

22233665 is an apocalyptic number.

It is an amenable number.

2233665 is an abundant number, since it is smaller than the sum of its proper divisors (2274579).

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

2233665 is a wasteful number, since it uses less digits than its factorization.

2233665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1028 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2233665 is about 1494.5450812873. The cubic root of 2233665 is about 130.7191894860.

Adding to 2233665 its reverse (5663322), we get a palindrome (7896987).

The spelling of 2233665 in words is "two million, two hundred thirty-three thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 1013 2205 3039 5065 7091 9117 15195 21273 35455 45585 49637 63819 106365 148911 248185 319095 446733 744555 2233665