221733120 has 288 divisors, whose sum is σ = 827672832. Its totient is φ = 49545216.

The previous prime is 221733103. The next prime is 221733121. The reversal of 221733120 is 21337122.

221733120 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 (21).

It is not an unprimeable number, because it can be changed into a prime (221733121) 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 31 ways as a sum of consecutive naturals, for example, 1962184 + ... + 1962296.

It is an arithmetic number, because the mean of its divisors is an integer number (2873864).

Almost surely, 2^221733120 is an apocalyptic number.

221733120 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 221733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413836416).

221733120 is an abundant number, since it is smaller than the sum of its proper divisors (605939712).

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

221733120 is a wasteful number, since it uses less digits than its factorization.

221733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 221733120 is about 14890.7058261185. The cubic root of 221733120 is about 605.2621589981.

The spelling of 221733120 in words is "two hundred twenty-one million, seven hundred thirty-three thousand, one hundred twenty".