220323400 has 192 divisors, whose sum is σ = 609871680. Its totient is φ = 73113600.

The previous prime is 220323377. The next prime is 220323407. The reversal of 220323400 is 4323022.

It is not an unprimeable number, because it can be changed into a prime (220323407) 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 47 ways as a sum of consecutive naturals, for example, 1608132 + ... + 1608268.

It is an arithmetic number, because the mean of its divisors is an integer number (3176415).

Almost surely, 2^220323400 is an apocalyptic number.

220323400 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 220323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304935840).

220323400 is an abundant number, since it is smaller than the sum of its proper divisors (389548280).

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

220323400 is a wasteful number, since it uses less digits than its factorization.

220323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 220323400 is about 14843.2947824935. The cubic root of 220323400 is about 603.9767325803.

Adding to 220323400 its reverse (4323022), we get a palindrome (224646422).

The spelling of 220323400 in words is "two hundred twenty million, three hundred twenty-three thousand, four hundred".