220345302400 has 192 divisors, whose sum is σ = 552923003520. Its totient is φ = 86750576640.

The previous prime is 220345302389. The next prime is 220345302403. The reversal of 220345302400 is 4203543022.

220345302400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220345302403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201596254 + ... + 201597346.

It is an arithmetic number, because the mean of its divisors is an integer number (2879807310).

Almost surely, 2^220345302400 is an apocalyptic number.

220345302400 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 220345302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276461501760).

220345302400 is an abundant number, since it is smaller than the sum of its proper divisors (332577701120).

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

220345302400 is a wasteful number, since it uses less digits than its factorization.

220345302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 220345302400 its reverse (4203543022), we get a palindrome (224548845422).

The spelling of 220345302400 in words is "two hundred twenty billion, three hundred forty-five million, three hundred two thousand, four hundred".