220778208 has 144 divisors (see below), whose sum is σ = 725568480. Its totient is φ = 62373888.

The previous prime is 220778203. The next prime is 220778209. The reversal of 220778208 is 802877022.

It is a tau number, because it is divible by the number of its divisors (144).

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 (220778203) 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, 194988 + ... + 196116.

It is an arithmetic number, because the mean of its divisors is an integer number (5038670).

Almost surely, 2^220778208 is an apocalyptic number.

220778208 is a gapful number since it is divisible by the number (28) 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 220778208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362784240).

220778208 is an abundant number, since it is smaller than the sum of its proper divisors (504790272).

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

220778208 is a wasteful number, since it uses less digits than its factorization.

220778208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 220778208 is about 14858.6072025611. The cubic root of 220778208 is about 604.3920382204.

The spelling of 220778208 in words is "two hundred twenty million, seven hundred seventy-eight thousand, two hundred eight".