220225205200 has 480 divisors, whose sum is σ = 726965471232. Its totient is φ = 61883136000.

The previous prime is 220225205153. The next prime is 220225205219. The reversal of 220225205200 is 2502522022.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17210805 + ... + 17223595.

Almost surely, 2^220225205200 is an apocalyptic number.

220225205200 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 220225205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363482735616).

220225205200 is an abundant number, since it is smaller than the sum of its proper divisors (506740266032).

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

220225205200 is a wasteful number, since it uses less digits than its factorization.

220225205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12872 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

Adding to 220225205200 its reverse (2502522022), we get a palindrome (222727727222).

The spelling of 220225205200 in words is "two hundred twenty billion, two hundred twenty-five million, two hundred five thousand, two hundred".