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2262065 = 51322677
BaseRepresentation
bin1000101000010000110001
311020220222012
420220100301
51034341230
6120252305
725140641
oct10502061
94226865
102262065
111305583
12911095
13612800
1442c521
152ea395
hex228431

2262065 has 12 divisors (see below), whose sum is σ = 2940444. Its totient is φ = 1669824.

The previous prime is 2262061. The next prime is 2262067. The reversal of 2262065 is 5602622.

2262065 = 10632 + 10642.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1132096 + 1129969 = 1064^2 + 1063^2 .

It is not a de Polignac number, because 2262065 - 22 = 2262061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2262065.

It is not an unprimeable number, because it can be changed into a prime (2262061) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 494 + ... + 2183.

It is an arithmetic number, because the mean of its divisors is an integer number (245037).

22262065 is an apocalyptic number.

2262065 is the 1064-th centered square number.

It is an amenable number.

2262065 is a deficient number, since it is larger than the sum of its proper divisors (678379).

2262065 is a wasteful number, since it uses less digits than its factorization.

2262065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2262065 is about 1504.0162898054. The cubic root of 2262065 is about 131.2708689416.

Adding to 2262065 its reverse (5602622), we get a palindrome (7864687).

The spelling of 2262065 in words is "two million, two hundred sixty-two thousand, sixty-five".

Divisors: 1 5 13 65 169 845 2677 13385 34801 174005 452413 2262065