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22132845 = 345737211
BaseRepresentation
bin101010001101…
…1100001101101
31112122110120000
41110123201231
521131222340
62110214513
7356061150
oct124334155
945573500
1022132845
1111547809
1274b4439
13477c177
142d21c97
151e22d30
hex151b86d

22132845 has 80 divisors (see below), whose sum is σ = 46789248. Its totient is φ = 9797760.

The previous prime is 22132811. The next prime is 22132871. The reversal of 22132845 is 54823122.

It is not a de Polignac number, because 22132845 - 210 = 22131821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104790 + ... + 105000.

Almost surely, 222132845 is an apocalyptic number.

It is an amenable number.

22132845 is an abundant number, since it is smaller than the sum of its proper divisors (24656403).

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

22132845 is a wasteful number, since it uses less digits than its factorization.

22132845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 22132845 is about 4704.5557707397. Note that the first 3 decimals coincide. The cubic root of 22132845 is about 280.7667969726.

Adding to 22132845 its reverse (54823122), we get a palindrome (76955967).

The spelling of 22132845 in words is "twenty-two million, one hundred thirty-two thousand, eight hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 211 259 315 333 405 555 567 633 777 945 999 1055 1295 1477 1665 1899 2331 2835 2997 3165 3885 4431 4995 5697 6993 7385 7807 9495 11655 13293 14985 17091 20979 22155 23421 28485 34965 39035 39879 54649 66465 70263 85455 104895 117105 119637 163947 199395 210789 273245 351315 491841 598185 632367 819735 1053945 1475523 2459205 3161835 4426569 7377615 22132845