221313760 has 48 divisors (see below), whose sum is σ = 529502400. Its totient is φ = 87399936.

The previous prime is 221313749. The next prime is 221313787. The reversal of 221313760 is 67313122.

221313760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886 + ... + 21394.

It is an arithmetic number, because the mean of its divisors is an integer number (11031300).

Almost surely, 2^221313760 is an apocalyptic number.

221313760 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 221313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264751200).

221313760 is an abundant number, since it is smaller than the sum of its proper divisors (308188640).

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

221313760 is a wasteful number, since it uses less digits than its factorization.

221313760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603 (or 17595 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 221313760 is about 14876.6178952072. The cubic root of 221313760 is about 604.8803442529.

Adding to 221313760 its reverse (67313122), we get a palindrome (288626882).

The spelling of 221313760 in words is "two hundred twenty-one million, three hundred thirteen thousand, seven hundred sixty".