Search a number
-
+
2261881622 = 2711132938959
BaseRepresentation
bin1000011011010001…
…1001001100010110
312211122010111021102
42012310121030112
514113020202442
61012235550102
7110023451030
oct20664311426
95748114242
102261881622
11a60856160
125315bb332
132a07b9bc0
14176588c50
15d3892232
hex86d19316

2261881622 has 64 divisors (see below), whose sum is σ = 4712601600. Its totient is φ = 785393280.

The previous prime is 2261881607. The next prime is 2261881631.

2261881622 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×22618816222 = 10232216943882701768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38579 + ... + 77537.

It is an arithmetic number, because the mean of its divisors is an integer number (73634400).

Almost surely, 22261881622 is an apocalyptic number.

2261881622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2261881622 is an abundant number, since it is smaller than the sum of its proper divisors (2450719978).

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

2261881622 is a wasteful number, since it uses less digits than its factorization.

2261881622 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39021.

The product of its digits is 36864, while the sum is 38.

The square root of 2261881622 is about 47559.2432866630. The cubic root of 2261881622 is about 1312.6732161654.

The spelling of 2261881622 in words is "two billion, two hundred sixty-one million, eight hundred eighty-one thousand, six hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 143 154 182 203 286 319 377 406 638 754 1001 2002 2233 2639 4147 4466 5278 8294 29029 38959 58058 77918 272713 428549 506467 545426 857098 1012934 1129811 2259622 2999843 3545269 5571137 5999686 7090538 7908677 11142274 12427921 14687543 15817354 24855842 29375086 38997959 77995918 86995447 102812801 161562973 173990894 205625602 323125946 1130940811 2261881622