42227200 has 60 divisors (see below), whose sum is σ = 104652900. Its totient is φ = 16885760.

The previous prime is 42227183. The next prime is 42227209. The reversal of 42227200 is 272224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227209) 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 5 ways as a sum of consecutive naturals, for example, 11151 + ... + 14449.

It is an arithmetic number, because the mean of its divisors is an integer number (1744215).

Almost surely, 2^42227200 is an apocalyptic number.

42227200 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 42227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52326450).

42227200 is an abundant number, since it is smaller than the sum of its proper divisors (62425700).

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

42227200 is an equidigital number, since it uses as much as digits as its factorization.

42227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 42227200 is about 6498.2459171687. The cubic root of 42227200 is about 348.2283259609.

Adding to 42227200 its reverse (272224), we get a palindrome (42499424).

The spelling of 42227200 in words is "forty-two million, two hundred twenty-seven thousand, two hundred".