202940000 has 120 divisors (see below), whose sum is σ = 509743080. Its totient is φ = 79488000.

The previous prime is 202939991. The next prime is 202940039. The reversal of 202940000 is 49202.

202940000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 1459931 + ... + 1460069.

It is an arithmetic number, because the mean of its divisors is an integer number (4247859).

Almost surely, 2^202940000 is an apocalyptic number.

202940000 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 202940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254871540).

202940000 is an abundant number, since it is smaller than the sum of its proper divisors (306803080).

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

202940000 is an equidigital number, since it uses as much as digits as its factorization.

202940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 202940000 is about 14245.7011059477. The cubic root of 202940000 is about 587.6551574503.

Adding to 202940000 its reverse (49202), we get a palindrome (202989202).

The spelling of 202940000 in words is "two hundred two million, nine hundred forty thousand".