205541220 has 48 divisors (see below), whose sum is σ = 609372288. Its totient is φ = 51586560.

The previous prime is 205541201. The next prime is 205541243. The reversal of 205541220 is 22145502.

It is a happy number.

It is an unprimeable number.

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, 99736 + ... + 101775.

It is an arithmetic number, because the mean of its divisors is an integer number (12695256).

Almost surely, 2^205541220 is an apocalyptic number.

205541220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205541220 is an abundant number, since it is smaller than the sum of its proper divisors (403831068).

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

205541220 is a wasteful number, since it uses less digits than its factorization.

205541220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201540 (or 201538 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205541220 is about 14336.7088273425. The cubic root of 205541220 is about 590.1552976238.

Adding to 205541220 its reverse (22145502), we get a palindrome (227686722).

It can be divided in two parts, 205541 and 220, that added together give a triangular number (205761 = T₆₄₁).

The spelling of 205541220 in words is "two hundred five million, five hundred forty-one thousand, two hundred twenty".