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205130436 = 223719312653
BaseRepresentation
bin11000011101000…
…00101011000100
3112021222201001120
430032200223010
5410003133221
632204353540
75040402630
oct1416405304
9467881046
10205130436
11a5877595
12588458b0
1333662574
141d359dc0
151301e5c6
hexc3a0ac4

205130436 has 48 divisors (see below), whose sum is σ = 549892224. Its totient is φ = 58300416.

The previous prime is 205130407. The next prime is 205130467. The reversal of 205130436 is 634031502.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 9886 + ... + 22538.

It is an arithmetic number, because the mean of its divisors is an integer number (11456088).

Almost surely, 2205130436 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 205130436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274946112).

205130436 is an abundant number, since it is smaller than the sum of its proper divisors (344761788).

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

205130436 is a wasteful number, since it uses less digits than its factorization.

205130436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860 (or 12858 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 205130436 is about 14322.3753616500. The cubic root of 205130436 is about 589.7618841866.

Adding to 205130436 its reverse (634031502), we get a palindrome (839161938).

The spelling of 205130436 in words is "two hundred five million, one hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 4053 5404 8106 12653 16212 25306 37959 50612 75918 88571 151836 177142 265713 354284 531426 1062852 2442029 4884058 7326087 9768116 14652174 17094203 29304348 34188406 51282609 68376812 102565218 205130436