221504000 has 80 divisors (see below), whose sum is σ = 552493656. Its totient is φ = 88576000.

The previous prime is 221503981. The next prime is 221504027. The reversal of 221504000 is 405122.

221504000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 35236096 + 186267904 = 5936^2 + 13648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62270 + ... + 65730.

Almost surely, 2^221504000 is an apocalyptic number.

221504000 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 221504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276246828).

221504000 is an abundant number, since it is smaller than the sum of its proper divisors (330989656).

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

221504000 is an frugal number, since it uses more digits than its factorization.

221504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 221504000 is about 14883.0104481587. The cubic root of 221504000 is about 605.0536118053.

Adding to 221504000 its reverse (405122), we get a palindrome (221909122).

The spelling of 221504000 in words is "two hundred twenty-one million, five hundred four thousand".