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19422603225 = 34521921632
BaseRepresentation
bin10010000101101011…
…010110011111011001
31212010121001110210000
4102011223112133121
5304234141300400
612531141443213
71255211255244
oct220553263731
955117043700
1019422603225
11826760a303
123920710509
131aa6b9433c
14d2374425b
1578a215600
hex485ad67d9

19422603225 has 135 divisors (see below), whose sum is σ = 38204959023. Its totient is φ = 9753320160.

The previous prime is 19422603131. The next prime is 19422603269. The reversal of 19422603225 is 52230622491.

The square root of 19422603225 is 139365.

It is a perfect power (a square), and thus also a powerful number.

19422603225 is a `hidden beast` number, since 1 + 9 + 4 + 22 + 603 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6992137161 + 12430466064 = 83619^2 + 111492^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 19422603225 - 27 = 19422603097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 19422603225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 119156994 + ... + 119157156.

Almost surely, 219422603225 is an apocalyptic number.

19422603225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

19422603225 is the 139365-th square number.

19422603225 is the 69683-rd centered octagonal number.

It is an amenable number.

19422603225 is a deficient number, since it is larger than the sum of its proper divisors (18782355798).

19422603225 is an equidigital number, since it uses as much as digits as its factorization.

19422603225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 19422603225 by its sum of digits (36), we get a square (699213716100 = 8361902).

The spelling of 19422603225 in words is "nineteen billion, four hundred twenty-two million, six hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 163 171 225 285 361 405 475 489 513 675 815 855 1083 1425 1467 1539 1805 2025 2445 2565 3097 3249 4075 4275 4401 5415 7335 7695 9025 9291 9747 12225 12825 13203 15485 16245 22005 26569 27075 27873 29241 36675 38475 46455 48735 58843 66015 77425 79707 81225 83619 110025 132845 139365 146205 176529 232275 239121 243675 250857 294215 330075 398535 418095 504811 529587 664225 696825 717363 731025 882645 1195605 1254285 1471075 1514433 1588761 1992675 2090475 2152089 2524055 2647935 3586815 4413225 4543299 4766283 5978025 6271425 7572165 7943805 9591409 10760445 12620275 13239675 13629897 17934075 22716495 23831415 28774227 37860825 39719025 40889691 47957045 53802225 68149485 86322681 113582475 119157075 143871135 204448455 239785225 258968043 340747425 431613405 719355675 776904129 1022242275 1294840215 2158067025 3884520645 6474201075 19422603225