42200200 has 96 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 14112000.

The previous prime is 42200167. The next prime is 42200201. The reversal of 42200200 is 200224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (42200201) 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 23 ways as a sum of consecutive naturals, for example, 59850 + ... + 60550.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 2^42200200 is an apocalyptic number.

42200200 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 42200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

42200200 is an abundant number, since it is smaller than the sum of its proper divisors (72703160).

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

42200200 is a wasteful number, since it uses less digits than its factorization.

42200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 42200200 is about 6496.1681012732. The cubic root of 42200200 is about 348.1540912700.

Adding to 42200200 its reverse (200224), we get a palindrome (42400424).

The spelling of 42200200 in words is "forty-two million, two hundred thousand, two hundred".