221226824 has 64 divisors (see below), whose sum is σ = 513139200. Its totient is φ = 87070464.

The previous prime is 221226821. The next prime is 221226839. The reversal of 221226824 is 428622122.

It is not an unprimeable number, because it can be changed into a prime (221226821) 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, 166049 + ... + 167375.

It is an arithmetic number, because the mean of its divisors is an integer number (8017800).

Almost surely, 2^221226824 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 221226824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256569600).

221226824 is an abundant number, since it is smaller than the sum of its proper divisors (291912376).

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

221226824 is a wasteful number, since it uses less digits than its factorization.

221226824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 221226824 is about 14873.6957075234. The cubic root of 221226824 is about 604.8011312769.

Adding to 221226824 its reverse (428622122), we get a palindrome (649848946).

The spelling of 221226824 in words is "two hundred twenty-one million, two hundred twenty-six thousand, eight hundred twenty-four".