205210152 has 64 divisors (see below), whose sum is σ = 651465600. Its totient is φ = 58631040.

The previous prime is 205210151. The next prime is 205210153. The reversal of 205210152 is 251012502.

It is an interprime number because it is at equal distance from previous prime (205210151) and next prime (205210153).

It is a super-2 number, since 2×205210152² = 84222412967726208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (205210151) by changing a digit.

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, 66349 + ... + 69372.

It is an arithmetic number, because the mean of its divisors is an integer number (10179150).

Almost surely, 2^205210152 is an apocalyptic number.

It is an amenable number.

205210152 is an abundant number, since it is smaller than the sum of its proper divisors (446255448).

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

205210152 is a wasteful number, since it uses less digits than its factorization.

205210152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135743 (or 135733 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205210152 is about 14325.1580095998. The cubic root of 205210152 is about 589.8382703316.

Adding to 205210152 its reverse (251012502), we get a palindrome (456222654).

The spelling of 205210152 in words is "two hundred five million, two hundred ten thousand, one hundred fifty-two".