221304020 has 96 divisors (see below), whose sum is σ = 562974720. Its totient is φ = 71383680.

The previous prime is 221303987. The next prime is 221304023. The reversal of 221304020 is 20403122.

221304020 = 212² + 213² + ... + 876².

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221303986 and 221304004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221304023) 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, 720707 + ... + 721013.

It is an arithmetic number, because the mean of its divisors is an integer number (5864320).

Almost surely, 2^221304020 is an apocalyptic number.

221304020 is a gapful number since it is divisible by the number (20) 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 221304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281487360).

221304020 is an abundant number, since it is smaller than the sum of its proper divisors (341670700).

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

221304020 is a wasteful number, since it uses less digits than its factorization.

221304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 221304020 is about 14876.2905322530. The cubic root of 221304020 is about 604.8714705450.

Adding to 221304020 its reverse (20403122), we get a palindrome (241707142).

The spelling of 221304020 in words is "two hundred twenty-one million, three hundred four thousand, twenty".