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19225008 = 24321153229
BaseRepresentation
bin100100101010…
…1100110110000
31100011201202100
41021111212300
514410200013
61524020400
7322260405
oct111254660
940151670
1019225008
11a941040
126531700
133ca175a
1427a62ac
151a4b473
hex12559b0

19225008 has 120 divisors (see below), whose sum is σ = 60063120. Its totient is φ = 5690880.

The previous prime is 19225001. The next prime is 19225009. The reversal of 19225008 is 80052291.

It is not an unprimeable number, because it can be changed into a prime (19225001) 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 23 ways as a sum of consecutive naturals, for example, 83838 + ... + 84066.

It is an arithmetic number, because the mean of its divisors is an integer number (500526).

Almost surely, 219225008 is an apocalyptic number.

19225008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19225008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30031560).

19225008 is an abundant number, since it is smaller than the sum of its proper divisors (40838112).

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

19225008 is a wasteful number, since it uses less digits than its factorization.

19225008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19225008 is about 4384.6331659558. The cubic root of 19225008 is about 267.8893877829.

Adding to 19225008 its reverse (80052291), we get a palindrome (99277299).

It can be divided in two parts, 192 and 25008, that added together give a triangular number (25200 = T224).

The spelling of 19225008 in words is "nineteen million, two hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 53 66 72 88 99 106 132 144 159 176 198 212 229 264 318 396 424 458 477 528 583 636 687 792 848 916 954 1166 1272 1374 1584 1749 1832 1908 2061 2332 2519 2544 2748 3498 3664 3816 4122 4664 5038 5247 5496 6996 7557 7632 8244 9328 10076 10494 10992 12137 13992 15114 16488 20152 20988 22671 24274 27984 30228 32976 36411 40304 41976 45342 48548 60456 72822 83952 90684 97096 109233 120912 133507 145644 181368 194192 218466 267014 291288 362736 400521 436932 534028 582576 801042 873864 1068056 1201563 1602084 1747728 2136112 2403126 3204168 4806252 6408336 9612504 19225008