221986008 has 80 divisors (see below), whose sum is σ = 631169880. Its totient is φ = 72876672.

The previous prime is 221986003. The next prime is 221986027. The reversal of 221986008 is 800689122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221986001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40860 + ... + 45972.

Almost surely, 2^221986008 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 221986008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315584940).

221986008 is an abundant number, since it is smaller than the sum of its proper divisors (409183872).

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

221986008 is a wasteful number, since it uses less digits than its factorization.

221986008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 221986008 is about 14899.1948775764. The cubic root of 221986008 is about 605.4921733261.

The spelling of 221986008 in words is "two hundred twenty-one million, nine hundred eighty-six thousand, eight".