220205000 has 40 divisors (see below), whose sum is σ = 515952030. Its totient is φ = 88080000.

The previous prime is 220204939. The next prime is 220205017. The reversal of 220205000 is 502022.

It can be written as a sum of positive squares in 5 ways, for example, as 4056196 + 216148804 = 2014^2 + 14702^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×220205000³ (a number of 26 digits) contains 333 as substring.

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 9 ways as a sum of consecutive naturals, for example, 17021 + ... + 27020.

Almost surely, 2^220205000 is an apocalyptic number.

220205000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220205000 is an abundant number, since it is smaller than the sum of its proper divisors (295747030).

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

220205000 is an equidigital number, since it uses as much as digits as its factorization.

220205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44067 (or 44048 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 220205000 is about 14839.3059136875. The cubic root of 220205000 is about 603.8685224692.

Adding to 220205000 its reverse (502022), we get a palindrome (220707022).

The spelling of 220205000 in words is "two hundred twenty million, two hundred five thousand".