Search a number
-
+
2221132131 = 33109754717
BaseRepresentation
bin1000010001100011…
…1100100101100011
312201210110012111000
42010120330211203
514022102212011
61004222323043
7106020211611
oct20430744543
95653405430
102221132131
11a3a853499
1251ba29483
1329522018a
14170dbc6b1
15ceee3356
hex8463c963

2221132131 has 16 divisors (see below), whose sum is σ = 3320759200. Its totient is φ = 1467167904.

The previous prime is 2221132087. The next prime is 2221132141. The reversal of 2221132131 is 1312311222.

It is not a de Polignac number, because 2221132131 - 213 = 2221123939 is a prime.

It is a super-2 number, since 2×22211321312 = 9866855886721202322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221132141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374416 + ... + 380301.

It is an arithmetic number, because the mean of its divisors is an integer number (207547450).

Almost surely, 22221132131 is an apocalyptic number.

2221132131 is a deficient number, since it is larger than the sum of its proper divisors (1099627069).

2221132131 is a wasteful number, since it uses less digits than its factorization.

2221132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754835 (or 754829 counting only the distinct ones).

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

The square root of 2221132131 is about 47128.8884973962. Note that the first 3 decimals coincide. The cubic root of 2221132131 is about 1304.7424673473.

Adding to 2221132131 its reverse (1312311222), we get a palindrome (3533443353).

The spelling of 2221132131 in words is "two billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 109 327 981 2943 754717 2264151 6792453 20377359 82264153 246792459 740377377 2221132131