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202216105 = 57132172011
BaseRepresentation
bin11000000110110…
…01001010101001
3112002111122100101
430003121022221
5403231403410
632022105401
75003544220
oct1403311251
9462448311
10202216105
11a4166a53
125787b261
1332b81c00
141cbdbcb7
1512b45d3a
hexc0d92a9

202216105 has 48 divisors (see below), whose sum is σ = 318121344. Its totient is φ = 120407040.

The previous prime is 202216103. The next prime is 202216123. The reversal of 202216105 is 501612202.

202216105 is a nontrivial binomial coefficient, being equal to C(20111, 2).

It is not a de Polignac number, because 202216105 - 21 = 202216103 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202216103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99550 + ... + 101560.

It is an arithmetic number, because the mean of its divisors is an integer number (6627528).

Almost surely, 2202216105 is an apocalyptic number.

202216105 is the 20110-th triangular number.

202216105 is the 6704-th centered nonagonal number.

It is an amenable number.

202216105 is a deficient number, since it is larger than the sum of its proper divisors (115905239).

202216105 is a wasteful number, since it uses less digits than its factorization.

202216105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 202216105 is about 14220.2709186569. The cubic root of 202216105 is about 586.9555952778.

Adding to 202216105 its reverse (501612202), we get a palindrome (703828307).

The spelling of 202216105 in words is "two hundred two million, two hundred sixteen thousand, one hundred five".

Divisors: 1 5 7 13 17 35 65 85 91 119 169 221 455 595 845 1105 1183 1547 2011 2873 5915 7735 10055 14077 14365 20111 26143 34187 70385 100555 130715 170935 183001 239309 339859 444431 915005 1196545 1699295 2222155 2379013 3111017 5777603 11895065 15555085 28888015 40443221 202216105