221503680 has 224 divisors, whose sum is σ = 807598080. Its totient is φ = 57093120.

The previous prime is 221503679. The next prime is 221503687. The reversal of 221503680 is 86305122.

221503680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (221503687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267427 + ... + 268253.

Almost surely, 2^221503680 is an apocalyptic number.

221503680 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 221503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403799040).

221503680 is an abundant number, since it is smaller than the sum of its proper divisors (586094400).

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

221503680 is a wasteful number, since it uses less digits than its factorization.

221503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 221503680 is about 14882.9996976416. Note that the first 3 decimals coincide. The cubic root of 221503680 is about 605.0533204377.

The spelling of 221503680 in words is "two hundred twenty-one million, five hundred three thousand, six hundred eighty".