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204431332 = 22721736029
BaseRepresentation
bin11000010111101…
…01111111100100
3112020200012001211
430023311333210
5404313300312
632141401204
75031431500
oct1413657744
9466605054
10204431332
11a543a316
1258569204
13334792b1
141d217300
1512e323a7
hexc2f5fe4

204431332 has 36 divisors (see below), whose sum is σ = 418638780. Its totient is φ = 87092544.

The previous prime is 204431303. The next prime is 204431333. The reversal of 204431332 is 233134402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 188622756 + 15808576 = 13734^2 + 3976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204431333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30894 + ... + 36922.

It is an arithmetic number, because the mean of its divisors is an integer number (11628855).

Almost surely, 2204431332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204431332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209319390).

204431332 is an abundant number, since it is smaller than the sum of its proper divisors (214207448).

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

204431332 is a wasteful number, since it uses less digits than its factorization.

204431332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 204431332 is about 14297.9485241765. The cubic root of 204431332 is about 589.0911334509.

Adding to 204431332 its reverse (233134402), we get a palindrome (437565734).

The spelling of 204431332 in words is "two hundred four million, four hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 6029 8477 12058 16954 24116 33908 42203 84406 168812 295421 590842 1043017 1181684 2086034 4172068 7301119 14602238 29204476 51107833 102215666 204431332