42242200 has 192 divisors, whose sum is σ = 132491520. Its totient is φ = 12096000.

The previous prime is 42242173. The next prime is 42242251. The reversal of 42242200 is 224224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200095 + ... + 200305.

It is an arithmetic number, because the mean of its divisors is an integer number (690060).

Almost surely, 2^42242200 is an apocalyptic number.

42242200 is a gapful number since it is divisible by the number (40) 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 42242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

42242200 is an abundant number, since it is smaller than the sum of its proper divisors (90249320).

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

42242200 is a wasteful number, since it uses less digits than its factorization.

42242200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42242200 is about 6499.3999723051. The cubic root of 42242200 is about 348.2695537834.

Adding to 42242200 its reverse (224224), we get a palindrome (42466424).

It can be divided in two parts, 422 and 42200, that multiplied together give a square (17808400 = 4220²).

The spelling of 42242200 in words is "forty-two million, two hundred forty-two thousand, two hundred".