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252101205 = 32529193181
BaseRepresentation
bin11110000011011…
…00001001010101
3122120101001211200
433001230021111
51004014214310
641003223113
76150552636
oct1701541125
9576331750
10252101205
1111a339404
1270517a99
13402c9c15
14256a588d
15171eb9c0
hexf06c255

252101205 has 24 divisors (see below), whose sum is σ = 452045880. Its totient is φ = 129816960.

The previous prime is 252101203. The next prime is 252101209. The reversal of 252101205 is 502101252.

It can be written as a sum of positive squares in 4 ways, for example, as 61826769 + 190274436 = 7863^2 + 13794^2 .

It is not a de Polignac number, because 252101205 - 21 = 252101203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95286 + ... + 97895.

It is an arithmetic number, because the mean of its divisors is an integer number (18835245).

Almost surely, 2252101205 is an apocalyptic number.

It is an amenable number.

252101205 is a deficient number, since it is larger than the sum of its proper divisors (199944675).

252101205 is a wasteful number, since it uses less digits than its factorization.

252101205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193221 (or 193218 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 252101205 is about 15877.6952042795. The cubic root of 252101205 is about 631.7205049530.

Adding to 252101205 its reverse (502101252), we get a palindrome (754202457).

The spelling of 252101205 in words is "two hundred fifty-two million, one hundred one thousand, two hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 193181 579543 965905 1738629 2897715 5602249 8693145 16806747 28011245 50420241 84033735 252101205