221508480 has 128 divisors (see below), whose sum is σ = 722747520. Its totient is φ = 57673728.

The previous prime is 221508461. The next prime is 221508481. The reversal of 221508480 is 84805122.

221508480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221508481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81219 + ... + 83901.

It is an arithmetic number, because the mean of its divisors is an integer number (5646465).

Almost surely, 2^221508480 is an apocalyptic number.

221508480 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 221508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361373760).

221508480 is an abundant number, since it is smaller than the sum of its proper divisors (501239040).

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

221508480 is a wasteful number, since it uses less digits than its factorization.

221508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 221508480 is about 14883.1609545822. The cubic root of 221508480 is about 605.0576909219.

The spelling of 221508480 in words is "two hundred twenty-one million, five hundred eight thousand, four hundred eighty".