42208188 has 72 divisors (see below), whose sum is σ = 111049680. Its totient is φ = 12460800.

The previous prime is 42208181. The next prime is 42208189. The reversal of 42208188 is 88180224.

It is a super-2 number, since 2×42208188² = 3563062268486688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42208181) 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, 59178 + ... + 59886.

Almost surely, 2^42208188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42208188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55524840).

42208188 is an abundant number, since it is smaller than the sum of its proper divisors (68841492).

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

42208188 is a wasteful number, since it uses less digits than its factorization.

42208188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 42208188 is about 6496.7828961725. The cubic root of 42208188 is about 348.1760570381.

The spelling of 42208188 in words is "forty-two million, two hundred eight thousand, one hundred eighty-eight".