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2261006341 = 111753228131
BaseRepresentation
bin1000011011000100…
…0011100000000101
312211120111000121121
42012301003200011
514112304200331
61012205113541
7110013144136
oct20661034005
95746430547
102261006341
11a60308590
125312588b1
132a0571699
141763dbc8d
15d376cc11
hex86c43805

2261006341 has 16 divisors (see below), whose sum is σ = 2660931648. Its totient is φ = 1898041600.

The previous prime is 2261006317. The next prime is 2261006347. The reversal of 2261006341 is 1436001622.

It is a cyclic number.

It is not a de Polignac number, because 2261006341 - 213 = 2260998149 is a prime.

It is a super-2 number, since 2×22610063412 = 10224299348084416562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261006347) 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 15 ways as a sum of consecutive naturals, for example, 104155 + ... + 123976.

It is an arithmetic number, because the mean of its divisors is an integer number (166308228).

Almost surely, 22261006341 is an apocalyptic number.

It is an amenable number.

2261006341 is a deficient number, since it is larger than the sum of its proper divisors (399925307).

2261006341 is a wasteful number, since it uses less digits than its factorization.

2261006341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228212.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2261006341 is about 47550.0403890470. The cubic root of 2261006341 is about 1312.5038724723.

Adding to 2261006341 its reverse (1436001622), we get a palindrome (3697007963).

The spelling of 2261006341 in words is "two billion, two hundred sixty-one million, six thousand, three hundred forty-one".

Divisors: 1 11 17 53 187 583 901 9911 228131 2509441 3878227 12090943 42660497 133000373 205546031 2261006341