Search a number
-
+
17157070225 = 52172232672
BaseRepresentation
bin11111111101010010…
…00001110110010001
31122021201001110202101
433332221001312101
5240114202221400
611514251320401
71145111455621
oct177651016621
948251043671
1017157070225
11730479a889
1233a9a50101
1318056c9479
14b8a8c8881
156a63a156a
hex3fea41d91

17157070225 has 81 divisors (see below), whose sum is σ = 23983039857. Its totient is φ = 12172174080.

The previous prime is 17157070223. The next prime is 17157070253. The reversal of 17157070225 is 52207075171.

The square root of 17157070225 is 130985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 401321089 + 16755749136 = 20033^2 + 129444^2 .

It is not a de Polignac number, because 17157070225 - 21 = 17157070223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17157070223) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 256075642 + ... + 256075708.

Almost surely, 217157070225 is an apocalyptic number.

17157070225 is the 130985-th square number.

17157070225 is the 65493-rd centered octagonal number.

It is an amenable number.

17157070225 is a deficient number, since it is larger than the sum of its proper divisors (6825969632).

17157070225 is an equidigital number, since it uses as much as digits as its factorization.

17157070225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 37.

The spelling of 17157070225 in words is "seventeen billion, one hundred fifty-seven million, seventy thousand, two hundred twenty-five".

Divisors: 1 5 17 23 25 67 85 115 289 335 391 425 529 575 1139 1445 1541 1675 1955 2645 4489 5695 6647 7225 7705 8993 9775 13225 19363 22445 26197 28475 33235 35443 38525 44965 76313 96815 103247 112225 130985 152881 166175 177215 224825 381565 445349 484075 516235 602531 654925 764405 886075 1297321 1755199 1907825 2226745 2374681 2581175 3012655 3822025 6486605 8775995 10243027 11133725 11873405 15063275 29838383 32433025 40369577 43879975 51215135 59367025 149191915 201847885 256075675 686282809 745959575 1009239425 3431414045 17157070225