205666230 has 256 divisors, whose sum is σ = 663552000. Its totient is φ = 40360320.

The previous prime is 205666229. The next prime is 205666259. The reversal of 205666230 is 32666502.

205666230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2603331 + ... + 2603409.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2^205666230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205666230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331776000).

205666230 is an abundant number, since it is smaller than the sum of its proper divisors (457885770).

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

205666230 is a wasteful number, since it uses less digits than its factorization.

205666230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 205666230 is about 14341.0679518647. The cubic root of 205666230 is about 590.2749173642.

It can be divided in two parts, 20566 and 6230, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 205666230 in words is "two hundred five million, six hundred sixty-six thousand, two hundred thirty".