221271360 has 112 divisors (see below), whose sum is σ = 711256896. Its totient is φ = 58273792.

The previous prime is 221271353. The next prime is 221271373. The reversal of 221271360 is 63172122.

It is a super-2 number, since 2×221271360² = 97922029512499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221271360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78292 + ... + 81068.

It is an arithmetic number, because the mean of its divisors is an integer number (6350508).

Almost surely, 2^221271360 is an apocalyptic number.

221271360 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 221271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355628448).

221271360 is an abundant number, since it is smaller than the sum of its proper divisors (489985536).

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

221271360 is a wasteful number, since it uses less digits than its factorization.

221271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 221271360 is about 14875.1927718601. The cubic root of 221271360 is about 604.8417134803.

The spelling of 221271360 in words is "two hundred twenty-one million, two hundred seventy-one thousand, three hundred sixty".