221632224 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 65510400.

The previous prime is 221632199. The next prime is 221632253. The reversal of 221632224 is 422236122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 221632194 and 221632203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40737 + ... + 45855.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2^221632224 is an apocalyptic number.

221632224 is a gapful number since it is divisible by the number (24) 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 221632224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

221632224 is an abundant number, since it is smaller than the sum of its proper divisors (428648736).

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

221632224 is a wasteful number, since it uses less digits than its factorization.

221632224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5176 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 221632224 is about 14887.3175555571. The cubic root of 221632224 is about 605.1703402148.

Adding to 221632224 its reverse (422236122), we get a palindrome (643868346).

The spelling of 221632224 in words is "two hundred twenty-one million, six hundred thirty-two thousand, two hundred twenty-four".