205215219 has 48 divisors (see below), whose sum is σ = 344947200. Its totient is φ = 116251200.

The previous prime is 205215217. The next prime is 205215229. The reversal of 205215219 is 912512502.

It is not a de Polignac number, because 205215219 - 2¹ = 205215217 is a prime.

It is a super-2 number, since 2×205215219² = 84226572218435922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205215192 and 205215201.

It is not an unprimeable number, because it can be changed into a prime (205215217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147909 + ... + 149289.

It is an arithmetic number, because the mean of its divisors is an integer number (7186400).

Almost surely, 2^205215219 is an apocalyptic number.

205215219 is a deficient number, since it is larger than the sum of its proper divisors (139731981).

205215219 is a wasteful number, since it uses less digits than its factorization.

205215219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 205215219 is about 14325.3348651960. The cubic root of 205215219 is about 589.8431250068.

It can be divided in two parts, 2052 and 15219, that added together give a palindrome (17271).

The spelling of 205215219 in words is "two hundred five million, two hundred fifteen thousand, two hundred nineteen".