202125200 has 30 divisors (see below), whose sum is σ = 485606754. Its totient is φ = 80849920.

The previous prime is 202125197. The next prime is 202125221. The reversal of 202125200 is 2521202.

It can be written as a sum of positive squares in 3 ways, for example, as 712336 + 201412864 = 844^2 + 14192^2 .

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 5 ways as a sum of consecutive naturals, for example, 252257 + ... + 253056.

Almost surely, 2^202125200 is an apocalyptic number.

202125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202125200 is an abundant number, since it is smaller than the sum of its proper divisors (283481554).

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

202125200 is a wasteful number, since it uses less digits than its factorization.

202125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505331 (or 505320 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 202125200 is about 14217.0742419107. The cubic root of 202125200 is about 586.8676280082.

Adding to 202125200 its reverse (2521202), we get a palindrome (204646402).

The spelling of 202125200 in words is "two hundred two million, one hundred twenty-five thousand, two hundred".