42218200 has 72 divisors (see below), whose sum is σ = 102063780. Its totient is φ = 16240000.

The previous prime is 42218167. The next prime is 42218213. The reversal of 42218200 is 281224.

It is a super-2 number, since 2×42218200² = 3564752822480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 168075 + ... + 168325.

Almost surely, 2^42218200 is an apocalyptic number.

42218200 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 42218200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51031890).

42218200 is an abundant number, since it is smaller than the sum of its proper divisors (59845580).

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

42218200 is a wasteful number, since it uses less digits than its factorization.

42218200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 42218200 is about 6497.5533856983. The cubic root of 42218200 is about 348.2035845808.

Adding to 42218200 its reverse (281224), we get a palindrome (42499424).

It can be divided in two parts, 4221 and 8200, that added together give a palindrome (12421).

The spelling of 42218200 in words is "forty-two million, two hundred eighteen thousand, two hundred".