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2261106 = 232125617
BaseRepresentation
bin1000101000000001110010
311020212122200
420220001302
51034323411
6120244030
725135101
oct10500162
94225580
102261106
111304891
12910616
13612243
1442c038
152e9e56
hex228072

2261106 has 12 divisors (see below), whose sum is σ = 4899102. Its totient is φ = 753696.

The previous prime is 2261099. The next prime is 2261111. The reversal of 2261106 is 6011622.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2223081 + 38025 = 1491^2 + 195^2 .

It is a super-2 number, since 2×22611062 = 10225200686472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 125617 = 2261106 / (2 + 2 + 6 + 1 + 1 + 0 + 6).

It is a Curzon 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 5 ways as a sum of consecutive naturals, for example, 62791 + ... + 62826.

22261106 is an apocalyptic number.

2261106 is an abundant number, since it is smaller than the sum of its proper divisors (2637996).

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

2261106 is a wasteful number, since it uses less digits than its factorization.

2261106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125625 (or 125622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2261106 is about 1503.6974429718. The cubic root of 2261106 is about 131.2523156054.

Adding to 2261106 its reverse (6011622), we get a palindrome (8272728).

The spelling of 2261106 in words is "two million, two hundred sixty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 125617 251234 376851 753702 1130553 2261106