205242201 has 32 divisors (see below), whose sum is σ = 311581440. Its totient is φ = 133488000.

The previous prime is 205242143. The next prime is 205242211. The reversal of 205242201 is 102242502.

It is not a de Polignac number, because 205242201 - 2¹⁴ = 205225817 is a prime.

It is a super-2 number, since 2×205242201² = 84248722142648802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205242211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198556 + ... + 199586.

It is an arithmetic number, because the mean of its divisors is an integer number (9736920).

Almost surely, 2^205242201 is an apocalyptic number.

It is an amenable number.

205242201 is a deficient number, since it is larger than the sum of its proper divisors (106339239).

205242201 is a wasteful number, since it uses less digits than its factorization.

205242201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 205242201 is about 14326.2765923320. The cubic root of 205242201 is about 589.8689750222.

Adding to 205242201 its reverse (102242502), we get a palindrome (307484703).

It can be divided in two parts, 2052 and 42201, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 205242201 in words is "two hundred five million, two hundred forty-two thousand, two hundred one".