220235200 has 84 divisors (see below), whose sum is σ = 551337480. Its totient is φ = 86563840.

The previous prime is 220235177. The next prime is 220235203. The reversal of 220235200 is 2532022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220235203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93234 + ... + 95566.

Almost surely, 2^220235200 is an apocalyptic number.

220235200 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 220235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275668740).

220235200 is an abundant number, since it is smaller than the sum of its proper divisors (331102280).

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

220235200 is a wasteful number, since it uses less digits than its factorization.

220235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 220235200 is about 14840.3234466099. The cubic root of 220235200 is about 603.8961270434.

Adding to 220235200 its reverse (2532022), we get a palindrome (222767222).

The spelling of 220235200 in words is "two hundred twenty million, two hundred thirty-five thousand, two hundred".