221484520 has 64 divisors (see below), whose sum is σ = 529416000. Its totient is φ = 83155968.

The previous prime is 221484499. The next prime is 221484521. The reversal of 221484520 is 25484122.

It is not an unprimeable number, because it can be changed into a prime (221484521) 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, 84591 + ... + 87169.

It is an arithmetic number, because the mean of its divisors is an integer number (8272125).

Almost surely, 2^221484520 is an apocalyptic number.

221484520 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 221484520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264708000).

221484520 is an abundant number, since it is smaller than the sum of its proper divisors (307931480).

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

221484520 is a wasteful number, since it uses less digits than its factorization.

221484520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 221484520 is about 14882.3559962796. The cubic root of 221484520 is about 605.0358742928.

The spelling of 221484520 in words is "two hundred twenty-one million, four hundred eighty-four thousand, five hundred twenty".