202423200 has 144 divisors (see below), whose sum is σ = 753076800. Its totient is φ = 46264320.

The previous prime is 202423171. The next prime is 202423229. The reversal of 202423200 is 2324202.

202423200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202423171) and next prime (202423229).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202423200.

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, 10776 + ... + 22824.

It is an arithmetic number, because the mean of its divisors is an integer number (5229700).

Almost surely, 2^202423200 is an apocalyptic number.

202423200 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 202423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376538400).

202423200 is an abundant number, since it is smaller than the sum of its proper divisors (550653600).

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

202423200 is a wasteful number, since it uses less digits than its factorization.

202423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12066 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 202423200 is about 14227.5507379169. The cubic root of 202423200 is about 587.1558992982.

Adding to 202423200 its reverse (2324202), we get a palindrome (204747402).

The spelling of 202423200 in words is "two hundred two million, four hundred twenty-three thousand, two hundred".