221967360 has 132 divisors (see below), whose sum is σ = 769270788. Its totient is φ = 59179008.

The previous prime is 221967341. The next prime is 221967373. The reversal of 221967360 is 63769122.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 175509504 = 6816^2 + 13248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 43672 + ... + 48488.

It is an arithmetic number, because the mean of its divisors is an integer number (5827809).

Almost surely, 2^221967360 is an apocalyptic number.

221967360 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 221967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384635394).

221967360 is an abundant number, since it is smaller than the sum of its proper divisors (547303428).

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

221967360 is a wasteful number, since it uses less digits than its factorization.

221967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 221967360 is about 14898.5690588056. The cubic root of 221967360 is about 605.4752180018.

The spelling of 221967360 in words is "two hundred twenty-one million, nine hundred sixty-seven thousand, three hundred sixty".