221780448 has 72 divisors (see below), whose sum is σ = 651059136. Its totient is φ = 71539200.

The previous prime is 221780443. The next prime is 221780501. The reversal of 221780448 is 844087122.

221780448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221780441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3493 + ... + 21348.

It is an arithmetic number, because the mean of its divisors is an integer number (9042488).

Almost surely, 2^221780448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325529568).

221780448 is an abundant number, since it is smaller than the sum of its proper divisors (429278688).

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

221780448 is a wasteful number, since it uses less digits than its factorization.

221780448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24888 (or 24877 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 221780448 is about 14892.2949205285. The cubic root of 221780448 is about 605.3052194869.

The spelling of 221780448 in words is "two hundred twenty-one million, seven hundred eighty thousand, four hundred forty-eight".