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204650112 = 273836421
BaseRepresentation
bin11000011001010…
…11011010000000
3112021002022011210
430030223122000
5404342300422
632150210120
75033332362
oct1414533200
9467068153
10204650112
11a5579727
1258653940
1333524a54
141d272d32
1512e7710c
hexc32b680

204650112 has 64 divisors (see below), whose sum is σ = 550236960. Its totient is φ = 67384320.

The previous prime is 204650099. The next prime is 204650123. The reversal of 204650112 is 211056402.

204650112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2046501122 = 83763336683225088, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 28662 + ... + 35082.

Almost surely, 2204650112 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 204650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275118480).

204650112 is an abundant number, since it is smaller than the sum of its proper divisors (345586848).

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

204650112 is an equidigital number, since it uses as much as digits as its factorization.

204650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6521 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 204650112 is about 14305.5972262608. The cubic root of 204650112 is about 589.3012046575.

The spelling of 204650112 in words is "two hundred four million, six hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 6421 7968 10624 12842 15936 19263 25684 31872 38526 51368 77052 102736 154104 205472 308208 410944 532943 616416 821888 1065886 1232832 1598829 2131772 2465664 3197658 4263544 6395316 8527088 12790632 17054176 25581264 34108352 51162528 68216704 102325056 204650112