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317718232225 = 5279214272
BaseRepresentation
bin1001001111110010111…
…10110111110010100001
31010101002022220111001021
410213321132313302201
520201141331412400
6401542512205441
731645232262142
oct4477136676241
91111068814037
10317718232225
1111281a728429
12516ab239881
1323c64875ca4
1411540383ac9
1583e7e5a71a
hex49f97b7ca1

317718232225 has 27 divisors (see below), whose sum is σ = 399300521907. Its totient is φ = 250781322480.

The previous prime is 317718232217. The next prime is 317718232229. The reversal of 317718232225 is 522232817713.

The square root of 317718232225 is 563665.

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., 114378563601 + 203339668624 = 338199^2 + 450932^2 .

It is not a de Polignac number, because 317718232225 - 23 = 317718232217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317718232229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222646962 + ... + 222648388.

Almost surely, 2317718232225 is an apocalyptic number.

317718232225 is the 563665-th square number.

317718232225 is the 281833-rd centered octagonal number.

It is an amenable number.

317718232225 is a deficient number, since it is larger than the sum of its proper divisors (81582289682).

317718232225 is an frugal number, since it uses more digits than its factorization.

317718232225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 1511 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The spelling of 317718232225 in words is "three hundred seventeen billion, seven hundred eighteen million, two hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 79 395 1427 1975 6241 7135 31205 35675 112733 156025 563665 2036329 2818325 8905907 10181645 44529535 50908225 160869991 222647675 804349955 4021749775 12708729289 63543646445 317718232225