221004324 has 72 divisors (see below), whose sum is σ = 576969120. Its totient is φ = 71292672.

The previous prime is 221004307. The next prime is 221004337. The reversal of 221004324 is 423400122.

It is a super-2 number, since 2×221004324² = 97685822453393952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221004297 and 221004306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141532 + ... + 143084.

It is an arithmetic number, because the mean of its divisors is an integer number (8013460).

Almost surely, 2^221004324 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 221004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288484560).

221004324 is an abundant number, since it is smaller than the sum of its proper divisors (355964796).

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

221004324 is a wasteful number, since it uses less digits than its factorization.

221004324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221004324 is about 14866.2141784652. The cubic root of 221004324 is about 604.5983026615.

Adding to 221004324 its reverse (423400122), we get a palindrome (644404446).

The spelling of 221004324 in words is "two hundred twenty-one million, four thousand, three hundred twenty-four".