202042200 has 192 divisors, whose sum is σ = 678528000. Its totient is φ = 49559040.

The previous prime is 202042147. The next prime is 202042207. The reversal of 202042200 is 2240202.

It is a happy number.

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 (202042207) 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, 421561 + ... + 422039.

It is an arithmetic number, because the mean of its divisors is an integer number (3534000).

Almost surely, 2^202042200 is an apocalyptic number.

202042200 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 202042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339264000).

202042200 is an abundant number, since it is smaller than the sum of its proper divisors (476485800).

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

202042200 is a wasteful number, since it uses less digits than its factorization.

202042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 202042200 is about 14214.1549168426. The cubic root of 202042200 is about 586.7872872392.

Adding to 202042200 its reverse (2240202), we get a palindrome (204282402).

The spelling of 202042200 in words is "two hundred two million, forty-two thousand, two hundred".