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19221084 = 22331719229
BaseRepresentation
bin100100101010…
…0101001011100
31100011112101000
41021110221130
514410033314
61523550300
7322243101
oct111245134
940145330
1019221084
11a9390a3
12652b390
133c9ca2c
1427a4aa8
151a4a209
hex1254a5c

19221084 has 144 divisors (see below), whose sum is σ = 57607200. Its totient is φ = 5515776.

The previous prime is 19221071. The next prime is 19221089. The reversal of 19221084 is 48012291.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19221089) 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 47 ways as a sum of consecutive naturals, for example, 662782 + ... + 662810.

It is an arithmetic number, because the mean of its divisors is an integer number (400050).

Almost surely, 219221084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19221084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803600).

19221084 is an abundant number, since it is smaller than the sum of its proper divisors (38386116).

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

19221084 is a wasteful number, since it uses less digits than its factorization.

19221084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19221084 is about 4384.1856712507. The cubic root of 19221084 is about 267.8711603179.

The spelling of 19221084 in words is "nineteen million, two hundred twenty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 29 34 36 38 51 54 57 58 68 76 87 102 108 114 116 153 171 174 204 228 261 306 323 342 348 361 459 493 513 522 551 612 646 684 722 783 918 969 986 1026 1044 1083 1102 1292 1444 1479 1566 1653 1836 1938 1972 2052 2166 2204 2907 2958 3132 3249 3306 3876 4332 4437 4959 5814 5916 6137 6498 6612 8721 8874 9367 9747 9918 10469 11628 12274 12996 13311 14877 17442 17748 18411 18734 19494 19836 20938 24548 26622 28101 29754 31407 34884 36822 37468 38988 41876 53244 55233 56202 59508 62814 73644 84303 94221 110466 112404 125628 165699 168606 177973 188442 220932 252909 282663 331398 337212 355946 376884 505818 533919 565326 662796 711892 1011636 1067838 1130652 1601757 2135676 3203514 4805271 6407028 9610542 19221084