205141936 has 40 divisors (see below), whose sum is σ = 420608000. Its totient is φ = 96655680.

The previous prime is 205141931. The next prime is 205141967. The reversal of 205141936 is 639141502.

205141936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205141898 and 205141907.

It is not an unprimeable number, because it can be changed into a prime (205141931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58801 + ... + 62191.

It is an arithmetic number, because the mean of its divisors is an integer number (10515200).

Almost surely, 2^205141936 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 205141936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210304000).

205141936 is an abundant number, since it is smaller than the sum of its proper divisors (215466064).

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

205141936 is a wasteful number, since it uses less digits than its factorization.

205141936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 205141936 is about 14322.7768257416. The cubic root of 205141936 is about 589.7729050360.

The spelling of 205141936 in words is "two hundred five million, one hundred forty-one thousand, nine hundred thirty-six".