220225920 has 128 divisors (see below), whose sum is σ = 732637440. Its totient is φ = 56162304.

The previous prime is 220225867. The next prime is 220225997. The reversal of 220225920 is 29522022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41667 + ... + 46653.

It is an arithmetic number, because the mean of its divisors is an integer number (5723730).

Almost surely, 2^220225920 is an apocalyptic number.

220225920 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 220225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366318720).

220225920 is an abundant number, since it is smaller than the sum of its proper divisors (512411520).

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

220225920 is a wasteful number, since it uses less digits than its factorization.

220225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 220225920 is about 14840.0107816672. The cubic root of 220225920 is about 603.8876448468.

Adding to 220225920 its reverse (29522022), we get a palindrome (249747942).

The spelling of 220225920 in words is "two hundred twenty million, two hundred twenty-five thousand, nine hundred twenty".