205945146 has 96 divisors (see below), whose sum is σ = 515444160. Its totient is φ = 60873120.

The previous prime is 205945141. The next prime is 205945163. The reversal of 205945146 is 641549502.

205945146 is a `hidden beast` number, since 20 + 594 + 5 + 1 + 46 = 666.

205945146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205945146² = 84826806321922632, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 205945146.

It is not an unprimeable number, because it can be changed into a prime (205945141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280596 + ... + 281328.

It is an arithmetic number, because the mean of its divisors is an integer number (5369210).

Almost surely, 2^205945146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205945146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257722080).

205945146 is an abundant number, since it is smaller than the sum of its proper divisors (309499014).

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

205945146 is a wasteful number, since it uses less digits than its factorization.

205945146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 205945146 is about 14350.7890375408. The cubic root of 205945146 is about 590.5416322744.

The spelling of 205945146 in words is "two hundred five million, nine hundred forty-five thousand, one hundred forty-six".