Search a number
-
+
205232104 = 237112111579
BaseRepresentation
bin11000011101110…
…01011111101000
3112022011212112001
430032321133220
5410014411404
632210500344
75041305220
oct1416713750
9468155461
10205232104
11a5936a10
12588946b4
133369991c
141d385080
151303e7a4
hexc3b97e8

205232104 has 64 divisors (see below), whose sum is σ = 482342400. Its totient is φ = 79531200.

The previous prime is 205232087. The next prime is 205232107. The reversal of 205232104 is 401232502.

It is not an unprimeable number, because it can be changed into a prime (205232107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129187 + ... + 130765.

It is an arithmetic number, because the mean of its divisors is an integer number (7536600).

Almost surely, 2205232104 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 205232104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241171200).

205232104 is an abundant number, since it is smaller than the sum of its proper divisors (277110296).

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

205232104 is a wasteful number, since it uses less digits than its factorization.

205232104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 205232104 is about 14325.9241935730. The cubic root of 205232104 is about 589.8593018902.

Adding to 205232104 its reverse (401232502), we get a palindrome (606464606).

The spelling of 205232104 in words is "two hundred five million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 211 308 422 616 844 1477 1579 1688 2321 2954 3158 4642 5908 6316 9284 11053 11816 12632 16247 17369 18568 22106 32494 34738 44212 64988 69476 88424 121583 129976 138952 243166 333169 486332 666338 972664 1332676 2332183 2665352 3664859 4664366 7329718 9328732 14659436 18657464 25654013 29318872 51308026 102616052 205232104