202114000 has 80 divisors (see below), whose sum is σ = 533198016. Its totient is φ = 73488000.

The previous prime is 202113979. The next prime is 202114007. The reversal of 202114000 is 411202.

202114000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202114007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17407 + ... + 26593.

Almost surely, 2^202114000 is an apocalyptic number.

202114000 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 202114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266599008).

202114000 is an abundant number, since it is smaller than the sum of its proper divisors (331084016).

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

202114000 is a wasteful number, since it uses less digits than its factorization.

202114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9221 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202114000 is about 14216.6803438778. The cubic root of 202114000 is about 586.8567881280.

Adding to 202114000 its reverse (411202), we get a palindrome (202525202).

The spelling of 202114000 in words is "two hundred two million, one hundred fourteen thousand".