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204132352 = 212194361
BaseRepresentation
bin11000010101011…
…01000000000000
3112020002222221111
430022231000000
5404224213402
632131133104
75026045024
oct1412550000
9466088844
10204132352
11a5255726
1258444194
13333a3198
141d17a384
1512dc39d7
hexc2ad000

204132352 has 104 divisors (see below), whose sum is σ = 446900960. Its totient is φ = 92897280.

The previous prime is 204132349. The next prime is 204132377. The reversal of 204132352 is 253231402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3346402 + ... + 3346462.

Almost surely, 2204132352 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 204132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223450480).

204132352 is an abundant number, since it is smaller than the sum of its proper divisors (242768608).

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

204132352 is an equidigital number, since it uses as much as digits as its factorization.

204132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 204132352 is about 14287.4893525770. The cubic root of 204132352 is about 588.8038121996.

Adding to 204132352 its reverse (253231402), we get a palindrome (457363754).

The spelling of 204132352 in words is "two hundred four million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 43 61 64 76 86 122 128 152 172 244 256 304 344 488 512 608 688 817 976 1024 1159 1216 1376 1634 1952 2048 2318 2432 2623 2752 3268 3904 4096 4636 4864 5246 5504 6536 7808 9272 9728 10492 11008 13072 15616 18544 19456 20984 22016 26144 31232 37088 38912 41968 44032 49837 52288 62464 74176 77824 83936 88064 99674 104576 124928 148352 167872 176128 199348 209152 249856 296704 335744 398696 418304 593408 671488 797392 836608 1186816 1342976 1594784 1673216 2373632 2685952 3189568 3346432 4747264 5371904 6379136 10743808 12758272 25516544 51033088 102066176 204132352