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207193384225 = 5259215432
BaseRepresentation
bin1100000011110110110…
…0000010010100100001
3201210210122220110120101
43000331230002110201
511343313001243400
6235103333142401
720653305464452
oct3007554022441
9653718813511
10207193384225
117a96329a243
12341a478aa01
13166cc704049
14a0575bb129
1555c9c3c56a
hex303db02521

207193384225 has 27 divisors (see below), whose sum is σ = 261517662003. Its totient is φ = 162839702640.

The previous prime is 207193384171. The next prime is 207193384247. The reversal of 207193384225 is 522483391702.

The square root of 207193384225 is 455185.

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., 74589618321 + 132603765904 = 273111^2 + 364148^2 .

It is not a de Polignac number, because 207193384225 - 223 = 207184995617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134278804 + ... + 134280346.

Almost surely, 2207193384225 is an apocalyptic number.

207193384225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

207193384225 is the 455185-th square number.

207193384225 is the 227593-rd centered octagonal number.

It is an amenable number.

207193384225 is a deficient number, since it is larger than the sum of its proper divisors (54324277778).

207193384225 is an frugal number, since it uses more digits than its factorization.

207193384225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 207193384225 in words is "two hundred seven billion, one hundred ninety-three million, three hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 59 295 1475 1543 3481 7715 17405 38575 87025 91037 455185 2275925 2380849 5371183 11904245 26855915 59521225 134279575 140470091 702350455 3511752275 8287735369 41438676845 207193384225