221363360 has 24 divisors (see below), whose sum is σ = 522971316. Its totient is φ = 88545280.

The previous prime is 221363347. The next prime is 221363383. The reversal of 221363360 is 63363122.

It can be written as a sum of positive squares in 2 ways, for example, as 220581904 + 781456 = 14852^2 + 884^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 691601 + ... + 691920.

Almost surely, 2^221363360 is an apocalyptic number.

221363360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221363360 is an abundant number, since it is smaller than the sum of its proper divisors (301607956).

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

221363360 is a wasteful number, since it uses less digits than its factorization.

221363360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383536 (or 1383528 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 221363360 is about 14878.2848473875. The cubic root of 221363360 is about 604.9255287066.

The spelling of 221363360 in words is "two hundred twenty-one million, three hundred sixty-three thousand, three hundred sixty".