220781448 has 96 divisors (see below), whose sum is σ = 643719960. Its totient is φ = 68106240.

The previous prime is 220781443. The next prime is 220781459. The reversal of 220781448 is 844187022.

220781448 is a `hidden beast` number, since 2 + 207 + 8 + 1 + 448 = 666.

220781448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 125484804 + 95296644 = 11202^2 + 9762^2 .

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

It is not an unprimeable number, because it can be changed into a prime (220781443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 73186 + ... + 76142.

Almost surely, 2^220781448 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 220781448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321859980).

220781448 is an abundant number, since it is smaller than the sum of its proper divisors (422938512).

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

220781448 is a wasteful number, since it uses less digits than its factorization.

220781448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3040 counting only the distinct ones).

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

The square root of 220781448 is about 14858.7162298767. The cubic root of 220781448 is about 604.3949947632.

The spelling of 220781448 in words is "two hundred twenty million, seven hundred eighty-one thousand, four hundred forty-eight".