221244480 has 224 divisors, whose sum is σ = 808329600. Its totient is φ = 56899584.

The previous prime is 221244479. The next prime is 221244481. The reversal of 221244480 is 84442122.

221244480 is a `hidden beast` number, since 2 + 212 + 4 + 448 + 0 = 666.

221244480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221244479) and next prime (221244481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221244481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250119 + ... + 251001.

Almost surely, 2^221244480 is an apocalyptic number.

221244480 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 221244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404164800).

221244480 is an abundant number, since it is smaller than the sum of its proper divisors (587085120).

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

221244480 is a wasteful number, since it uses less digits than its factorization.

221244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 221244480 is about 14874.2892267160. The cubic root of 221244480 is about 604.8172204721.

The spelling of 221244480 in words is "two hundred twenty-one million, two hundred forty-four thousand, four hundred eighty".