202020200 has 96 divisors (see below), whose sum is σ = 484355160. Its totient is φ = 78336000.

The previous prime is 202020193. The next prime is 202020253. The reversal of 202020200 is 2020202.

202020200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 68525284 + 133494916 = 8278^2 + 11554^2 .

It is a super-2 number, since 2×202020200² = 81624322416080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 23 ways as a sum of consecutive naturals, for example, 1474532 + ... + 1474668.

Almost surely, 2^202020200 is an apocalyptic number.

202020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242177580).

202020200 is an abundant number, since it is smaller than the sum of its proper divisors (282334960).

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

202020200 is a wasteful number, since it uses less digits than its factorization.

202020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 202020200 is about 14213.3810193071. The cubic root of 202020200 is about 586.7659884067.

Adding to 202020200 its reverse (2020202), we get a palindrome (204040402).

Multiplying 202020200 by its reverse (2020202), we get a square (408121612080400 = 20202020²).

202020200 divided by its reverse (2020202) gives a square (100 = 10²).

The spelling of 202020200 in words is "two hundred two million, twenty thousand, two hundred".