42200208 has 60 divisors (see below), whose sum is σ = 118714128. Its totient is φ = 13993920.

The previous prime is 42200203. The next prime is 42200237. The reversal of 42200208 is 80200224.

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

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 11 ways as a sum of consecutive naturals, for example, 32043 + ... + 33333.

Almost surely, 2^42200208 is an apocalyptic number.

42200208 is a gapful number since it is divisible by the number (48) 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 42200208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59357064).

42200208 is an abundant number, since it is smaller than the sum of its proper divisors (76513920).

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

42200208 is a wasteful number, since it uses less digits than its factorization.

42200208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1523 counting only the distinct ones).

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

The square root of 42200208 is about 6496.1687170208. The cubic root of 42200208 is about 348.1541132701.

The spelling of 42200208 in words is "forty-two million, two hundred thousand, two hundred eight".