221481568 has 72 divisors (see below), whose sum is σ = 553387464. Its totient is φ = 86284800.

The previous prime is 221481527. The next prime is 221481571. The reversal of 221481568 is 865184122.

221481568 is digitally balanced in base 3, 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 11 ways as a sum of consecutive naturals, for example, 10828 + ... + 23668.

It is an arithmetic number, because the mean of its divisors is an integer number (7685937).

Almost surely, 2^221481568 is an apocalyptic number.

221481568 is a gapful number since it is divisible by the number (28) 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 221481568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276693732).

221481568 is an abundant number, since it is smaller than the sum of its proper divisors (331905896).

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

221481568 is a wasteful number, since it uses less digits than its factorization.

221481568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876 (or 12861 counting only the distinct ones).

The product of its digits is 30720, while the sum is 37.

The square root of 221481568 is about 14882.2568181039. The cubic root of 221481568 is about 605.0331862587.

It can be divided in two parts, 22148 and 1568, that added together give a square (23716 = 154²).

The spelling of 221481568 in words is "two hundred twenty-one million, four hundred eighty-one thousand, five hundred sixty-eight".