220303200 has 288 divisors, whose sum is σ = 808448256. Its totient is φ = 51701760.

The previous prime is 220303189. The next prime is 220303219. The reversal of 220303200 is 2303022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717447 + ... + 717753.

It is an arithmetic number, because the mean of its divisors is an integer number (2807112).

Almost surely, 2^220303200 is an apocalyptic number.

220303200 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 220303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404224128).

220303200 is an abundant number, since it is smaller than the sum of its proper divisors (588145056).

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

220303200 is a wasteful number, since it uses less digits than its factorization.

220303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 220303200 is about 14842.6143249766. The cubic root of 220303200 is about 603.9582738013.

Adding to 220303200 its reverse (2303022), we get a palindrome (222606222).

The spelling of 220303200 in words is "two hundred twenty million, three hundred three thousand, two hundred".