202131400 has 48 divisors (see below), whose sum is σ = 478847700. Its totient is φ = 79322880.

The previous prime is 202131389. The next prime is 202131403. The reversal of 202131400 is 4131202.

It can be written as a sum of positive squares in 6 ways, for example, as 162868644 + 39262756 = 12762^2 + 6266^2 .

It is not an unprimeable number, because it can be changed into a prime (202131403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1066 + ... + 20134.

Almost surely, 2^202131400 is an apocalyptic number.

202131400 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 202131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239423850).

202131400 is an abundant number, since it is smaller than the sum of its proper divisors (276716300).

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

202131400 is a wasteful number, since it uses less digits than its factorization.

202131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19138 (or 19129 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 202131400 is about 14217.2922879147. The cubic root of 202131400 is about 586.8736284840.

Adding to 202131400 its reverse (4131202), we get a palindrome (206262602).

The spelling of 202131400 in words is "two hundred two million, one hundred thirty-one thousand, four hundred".