221830224 has 160 divisors (see below), whose sum is σ = 730238976. Its totient is φ = 56348160.

The previous prime is 221830223. The next prime is 221830267. The reversal of 221830224 is 422038122.

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

It is a junction number, because it is equal to n+sod(n) for n = 221830194 and 221830203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221830223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173074 + ... + 174350.

Almost surely, 2^221830224 is an apocalyptic number.

221830224 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 221830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365119488).

221830224 is an abundant number, since it is smaller than the sum of its proper divisors (508408752).

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

221830224 is a wasteful number, since it uses less digits than its factorization.

221830224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 221830224 is about 14893.9660265491. The cubic root of 221830224 is about 605.3505006333.

Adding to 221830224 its reverse (422038122), we get a palindrome (643868346).

The spelling of 221830224 in words is "two hundred twenty-one million, eight hundred thirty thousand, two hundred twenty-four".