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204237352 = 231121012089
BaseRepresentation
bin11000010110001…
…10101000101000
3112020022022222101
430023012220220
5404241043402
632133303144
75026663114
oct1413065050
9466268871
10204237352
11a5317600
1258494ab4
133340bc07
141d1a6744
1512de4b87
hexc2c6a28

204237352 has 48 divisors (see below), whose sum is σ = 425294100. Its totient is φ = 91872000.

The previous prime is 204237349. The next prime is 204237367. The reversal of 204237352 is 253732402.

It can be written as a sum of positive squares in 2 ways, for example, as 155600676 + 48636676 = 12474^2 + 6974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204237352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96724 + ... + 98812.

Almost surely, 2204237352 is an apocalyptic number.

204237352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204237352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212647050).

204237352 is an abundant number, since it is smaller than the sum of its proper divisors (221056748).

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

204237352 is a wasteful number, since it uses less digits than its factorization.

204237352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 204237352 is about 14291.1634235985. The cubic root of 204237352 is about 588.9047496592.

Adding to 204237352 its reverse (253732402), we get a palindrome (457969754).

The spelling of 204237352 in words is "two hundred four million, two hundred thirty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2089 2222 4178 4444 8356 8888 12221 16712 22979 24442 45958 48884 91916 97768 183832 210989 252769 421978 505538 843956 1011076 1687912 2022152 2320879 4641758 9283516 18567032 25529669 51059338 102118676 204237352