208213120 has 32 divisors (see below), whose sum is σ = 497761020. Its totient is φ = 83284992.

The previous prime is 208213087. The next prime is 208213121. The reversal of 208213120 is 21312802.

It can be written as a sum of positive squares in 2 ways, for example, as 198922816 + 9290304 = 14104^2 + 3048^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (208213121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162027 + ... + 163306.

Almost surely, 2^208213120 is an apocalyptic number.

208213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208213120 is an abundant number, since it is smaller than the sum of its proper divisors (289547900).

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

208213120 is an equidigital number, since it uses as much as digits as its factorization.

208213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325352 (or 325340 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 208213120 is about 14429.5918168187. The cubic root of 208213120 is about 592.7015058765.

Adding to 208213120 its reverse (21312802), we get a palindrome (229525922).

The spelling of 208213120 in words is "two hundred eight million, two hundred thirteen thousand, one hundred twenty".