42228200 has 144 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 13910400.

The previous prime is 42228181. The next prime is 42228209. The reversal of 42228200 is 282224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42228209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303731 + ... + 303869.

It is an arithmetic number, because the mean of its divisors is an integer number (824600).

Almost surely, 2^42228200 is an apocalyptic number.

42228200 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 42228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

42228200 is an abundant number, since it is smaller than the sum of its proper divisors (76514200).

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

42228200 is a wasteful number, since it uses less digits than its factorization.

42228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 42228200 is about 6498.3228605541. The cubic root of 42228200 is about 348.2310747861.

The spelling of 42228200 in words is "forty-two million, two hundred twenty-eight thousand, two hundred".