202442112 has 128 divisors (see below), whose sum is σ = 629136000. Its totient is φ = 63908352.

The previous prime is 202442111. The next prime is 202442117. The reversal of 202442112 is 211244202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×202442112² = 81965617422041088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202442111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64123 + ... + 67205.

It is an arithmetic number, because the mean of its divisors is an integer number (4915125).

Almost surely, 2^202442112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314568000).

202442112 is an abundant number, since it is smaller than the sum of its proper divisors (426693888).

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

202442112 is a wasteful number, since it uses less digits than its factorization.

202442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3107 counting only the distinct ones).

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

The square root of 202442112 is about 14228.2153483844. The cubic root of 202442112 is about 587.1741843343.

Adding to 202442112 its reverse (211244202), we get a palindrome (413686314).

The spelling of 202442112 in words is "two hundred two million, four hundred forty-two thousand, one hundred twelve".