202530000 has 200 divisors, whose sum is σ = 673259488. Its totient is φ = 52416000.

The previous prime is 202529989. The next prime is 202530007. The reversal of 202530000 is 35202.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202530007) 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 39 ways as a sum of consecutive naturals, for example, 1289922 + ... + 1290078.

Almost surely, 2^202530000 is an apocalyptic number.

202530000 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 202530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336629744).

202530000 is an abundant number, since it is smaller than the sum of its proper divisors (470729488).

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

202530000 is a wasteful number, since it uses less digits than its factorization.

202530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 202530000 is about 14231.3035242735. The cubic root of 202530000 is about 587.2591437630.

Adding to 202530000 its reverse (35202), we get a palindrome (202565202).

The spelling of 202530000 in words is "two hundred two million, five hundred thirty thousand".