221383520 has 96 divisors (see below), whose sum is σ = 557928000. Its totient is φ = 82722816.

The previous prime is 221383507. The next prime is 221383529. The reversal of 221383520 is 25383122.

221383520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221383520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221383529) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 541076 + ... + 541484.

It is an arithmetic number, because the mean of its divisors is an integer number (5811750).

Almost surely, 2^221383520 is an apocalyptic number.

221383520 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 221383520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278964000).

221383520 is an abundant number, since it is smaller than the sum of its proper divisors (336544480).

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

221383520 is a wasteful number, since it uses less digits than its factorization.

221383520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 221383520 is about 14878.9623294099. The cubic root of 221383520 is about 604.9438920715.

The spelling of 221383520 in words is "two hundred twenty-one million, three hundred eighty-three thousand, five hundred twenty".