202200042 has 64 divisors (see below), whose sum is σ = 467877888. Its totient is φ = 57672000.

The previous prime is 202200041. The next prime is 202200043. The reversal of 202200042 is 240002202.

It is a happy number.

202200042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202200041) and next prime (202200043).

It is not an unprimeable number, because it can be changed into a prime (202200041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74367 + ... + 77037.

It is an arithmetic number, because the mean of its divisors is an integer number (7310592).

Almost surely, 2^202200042 is an apocalyptic number.

202200042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233938944).

202200042 is an abundant number, since it is smaller than the sum of its proper divisors (265677846).

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

202200042 is a wasteful number, since it uses less digits than its factorization.

202200042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755.

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

The square root of 202200042 is about 14219.7061151066. The cubic root of 202200042 is about 586.9400532954.

Adding to 202200042 its reverse (240002202), we get a palindrome (442202244).

The spelling of 202200042 in words is "two hundred two million, two hundred thousand, forty-two".