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19316830225 = 5272112194
BaseRepresentation
bin10001111111010111…
…110111000000010001
31211212020000122111111
4101333113313000101
5304030102031400
612512442413321
71252455230200
oct217727670021
954766018444
1019316830225
118212935500
1238b1201241
131a8acabc74
14d1368d237
15780cc03ba
hex47f5f7011

19316830225 has 135 divisors (see below), whose sum is σ = 32328348171. Its totient is φ = 11407888800.

The previous prime is 19316830207. The next prime is 19316830237. The reversal of 19316830225 is 52203861391.

The square root of 19316830225 is 138985.

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

It can be written as a sum of positive squares in only one way, i.e., 6954058881 + 12362771344 = 83391^2 + 111188^2 .

It is not a de Polignac number, because 19316830225 - 27 = 19316830097 is a prime.

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, 1016675266 + ... + 1016675284.

Almost surely, 219316830225 is an apocalyptic number.

19316830225 is the 138985-th square number.

19316830225 is the 69493-rd centered octagonal number.

It is an amenable number.

19316830225 is a deficient number, since it is larger than the sum of its proper divisors (13011517946).

19316830225 is an frugal number, since it uses more digits than its factorization.

19316830225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 19316830225 in words is "nineteen billion, three hundred sixteen million, eight hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 7 11 19 25 35 49 55 77 95 121 133 175 209 245 275 361 385 475 539 605 665 847 931 1045 1225 1463 1805 1925 2299 2527 2695 3025 3325 3971 4235 4655 5225 5929 6859 7315 9025 10241 11495 12635 13475 16093 17689 19855 21175 23275 27797 29645 34295 36575 43681 48013 51205 57475 63175 75449 80465 88445 99275 112651 130321 138985 148225 171475 194579 218405 240065 256025 305767 336091 377245 402325 442225 528143 563255 651605 694925 829939 912247 972895 1092025 1200325 1433531 1528835 1680455 1886225 2140369 2640715 2816275 3258025 3697001 4149695 4561235 4864475 5809573 6385729 7167655 7644175 8402275 10034717 10701845 13203575 15768841 18485005 20748475 22806175 29047865 31928645 35838275 40667011 50173585 53509225 70243019 78844205 92425025 110381887 145239325 159643225 203335055 250867925 351215095 394221025 551909435 772673209 1016675275 1756075475 2759547175 3863366045 19316830225