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205200235242 = 23243773342971
BaseRepresentation
bin1011111100011011100…
…0110001101011101010
3201121122202110000011200
42333012320301223222
511330222230011432
6234133453105030
720553024135462
oct2770670615352
9647582400150
10205200235242
117a030201982
1233929188176
13164727b8152
149d089c6ba2
15550ec7ea7c
hex2fc6e31aea

205200235242 has 48 divisors (see below), whose sum is σ = 455529922848. Its totient is φ = 66722755680.

The previous prime is 205200235187. The next prime is 205200235243. The reversal of 205200235242 is 242532002502.

205200235242 is a `hidden beast` number, since 205 + 200 + 235 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (205200235243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426817 + ... + 769787.

It is an arithmetic number, because the mean of its divisors is an integer number (9490206726).

Almost surely, 2205200235242 is an apocalyptic number.

205200235242 is an abundant number, since it is smaller than the sum of its proper divisors (250329687606).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205200235242 is a wasteful number, since it uses less digits than its factorization.

205200235242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343795 (or 343792 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 205200235242 its reverse (242532002502), we get a palindrome (447732237744).

The spelling of 205200235242 in words is "two hundred five billion, two hundred million, two hundred thirty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 773 774 1546 2319 4638 6957 13914 33239 66478 99717 199434 299151 342971 598302 685942 1028913 2057826 3086739 6173478 14747753 29495506 44243259 88486518 132729777 265116583 265459554 530233166 795349749 1590699498 2386049247 4772098494 11400013069 22800026138 34200039207 68400078414 102600117621 205200235242