221636096 has 160 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 91463680.

The previous prime is 221636087. The next prime is 221636099. The reversal of 221636096 is 690636122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221636099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3756515 + ... + 3756573.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^221636096 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 221636096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

221636096 is an abundant number, since it is smaller than the sum of its proper divisors (308687104).

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

221636096 is a wasteful number, since it uses less digits than its factorization.

221636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 221636096 is about 14887.4475985644. The cubic root of 221636096 is about 605.1738643803.

The spelling of 221636096 in words is "two hundred twenty-one million, six hundred thirty-six thousand, ninety-six".