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205441341225 = 3526740883849
BaseRepresentation
bin1011111101010101000…
…0100001011100101001
3201122021120010110101220
42333111100201130221
511331220440404400
6234213424532253
720562012405411
oct2772520413451
9648246113356
10205441341225
117a14431041a
1233995a81089
13164b0735503
149d2ca29641
1555260087a0
hex2fd5421729

205441341225 has 24 divisors (see below), whose sum is σ = 344732623200. Its totient is φ = 107933358720.

The previous prime is 205441341169. The next prime is 205441341241. The reversal of 205441341225 is 522143144502.

205441341225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205441341225 - 28 = 205441340969 is a prime.

It is a super-2 number, since 2×2054413412252 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 20436900 + ... + 20446949.

It is an arithmetic number, because the mean of its divisors is an integer number (14363859300).

Almost surely, 2205441341225 is an apocalyptic number.

205441341225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205441341225 is a deficient number, since it is larger than the sum of its proper divisors (139291281975).

205441341225 is a wasteful number, since it uses less digits than its factorization.

205441341225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40883929 (or 40883924 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 205441341225 its reverse (522143144502), we get a palindrome (727584485727).

The spelling of 205441341225 in words is "two hundred five billion, four hundred forty-one million, three hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 201 335 1005 1675 5025 40883849 122651547 204419245 613257735 1022096225 2739217883 3066288675 8217653649 13696089415 41088268245 68480447075 205441341225