220378752 has 384 divisors, whose sum is σ = 781401600. Its totient is φ = 60825600.

The previous prime is 220378733. The next prime is 220378757. The reversal of 220378752 is 257873022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 (220378757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7108977 + ... + 7109007.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2^220378752 is an apocalyptic number.

220378752 is a gapful number since it is divisible by the number (22) 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 220378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

220378752 is an abundant number, since it is smaller than the sum of its proper divisors (561022848).

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

220378752 is a wasteful number, since it uses less digits than its factorization.

220378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 220378752 is about 14845.1592110021. The cubic root of 220378752 is about 604.0273075091.

The spelling of 220378752 in words is "two hundred twenty million, three hundred seventy-eight thousand, seven hundred fifty-two".