202112442 has 64 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 57577392.

The previous prime is 202112441. The next prime is 202112453. The reversal of 202112442 is 244211202.

It is a super-2 number, since 2×202112442² = 81698878422406728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202112441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189603 + ... + 190665.

It is an arithmetic number, because the mean of its divisors is an integer number (8043840).

Almost surely, 2^202112442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202112442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

202112442 is an abundant number, since it is smaller than the sum of its proper divisors (312693318).

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

202112442 is a wasteful number, since it uses less digits than its factorization.

202112442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 202112442 is about 14216.6255489831. The cubic root of 202112442 is about 586.8552801915.

Adding to 202112442 its reverse (244211202), we get a palindrome (446323644).

The spelling of 202112442 in words is "two hundred two million, one hundred twelve thousand, four hundred forty-two".