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209612887225 = 527210321272
BaseRepresentation
bin1100001100110111100…
…1101101010010111001
3202001001021121221201121
43003031321231102321
511413241344342400
6240143403345241
721100255100200
oct3031571552271
9661037557647
10209612887225
11809950126a5
123475ab22221
13169c6a5ab21
14a206a76237
1556bc36721a
hex30cde6d4b9

209612887225 has 81 divisors (see below), whose sum is σ = 307742912847. Its totient is φ = 141218290080.

The previous prime is 209612887207. The next prime is 209612887241. The reversal of 209612887225 is 522788216902.

The square root of 209612887225 is 457835.

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., 75460639401 + 134152247824 = 274701^2 + 366268^2 .

It is not a de Polignac number, because 209612887225 - 213 = 209612879033 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1650495112 + ... + 1650495238.

Almost surely, 2209612887225 is an apocalyptic number.

209612887225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

209612887225 is the 457835-th square number.

209612887225 is the 228918-th centered octagonal number.

It is an amenable number.

209612887225 is a deficient number, since it is larger than the sum of its proper divisors (98130025622).

209612887225 is an equidigital number, since it uses as much as digits as its factorization.

209612887225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 209612887225 in words is "two hundred nine billion, six hundred twelve million, eight hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 103 127 175 245 515 635 721 889 1225 2575 3175 3605 4445 5047 6223 10609 13081 16129 18025 22225 25235 31115 53045 65405 74263 80645 91567 112903 126175 155575 265225 327025 371315 403225 457835 519841 564515 640969 790321 1347343 1661287 1856575 2289175 2599205 2822575 3204845 3951605 6736715 8306435 9431401 11629009 12996025 16024225 19758025 33683575 41532175 47157005 58145045 66019807 81403063 171112561 235785025 290725225 330099035 407015315 855562805 1197787927 1650495175 2035076575 4277814025 5988939635 8384515489 29944698175 41922577445 209612887225