220221225 has 72 divisors (see below), whose sum is σ = 463095360. Its totient is φ = 97925760.

The previous prime is 220221223. The next prime is 220221227. The reversal of 220221225 is 522122022.

220221225 is a `hidden beast` number, since 220 + 221 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (220221223) and next prime (220221227).

It is not a de Polignac number, because 220221225 - 2¹ = 220221223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220221198 and 220221207.

It is not an unprimeable number, because it can be changed into a prime (220221223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56386 + ... + 60164.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^220221225 is an apocalyptic number.

220221225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

220221225 is an abundant number, since it is smaller than the sum of its proper divisors (242874135).

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

220221225 is a wasteful number, since it uses less digits than its factorization.

220221225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 220221225 is about 14839.8525936075. The cubic root of 220221225 is about 603.8833533861.

Adding to 220221225 its reverse (522122022), we get a palindrome (742343247).

It can be divided in two parts, 220 and 221225, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 220221225 in words is "two hundred twenty million, two hundred twenty-one thousand, two hundred twenty-five".