202006200 has 192 divisors, whose sum is σ = 691384320. Its totient is φ = 48384000.

The previous prime is 202006193. The next prime is 202006201. The reversal of 202006200 is 2600202.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202006201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838080 + ... + 838320.

It is an arithmetic number, because the mean of its divisors is an integer number (3600960).

Almost surely, 2^202006200 is an apocalyptic number.

202006200 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 202006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

202006200 is an abundant number, since it is smaller than the sum of its proper divisors (489378120).

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

202006200 is a wasteful number, since it uses less digits than its factorization.

202006200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202006200 is about 14212.8885171171. Note that the first 3 decimals coincide. The cubic root of 202006200 is about 586.7524337991.

Adding to 202006200 its reverse (2600202), we get a palindrome (204606402).

The spelling of 202006200 in words is "two hundred two million, six thousand, two hundred".