225141220 has 48 divisors (see below), whose sum is σ = 490646016. Its totient is φ = 86688000.

The previous prime is 225141187. The next prime is 225141223. The reversal of 225141220 is 22141522.

It is not an unprimeable number, because it can be changed into a prime (225141223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129960 + ... + 131680.

It is an arithmetic number, because the mean of its divisors is an integer number (10221792).

Almost surely, 2^225141220 is an apocalyptic number.

225141220 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 225141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245323008).

225141220 is an abundant number, since it is smaller than the sum of its proper divisors (265504796).

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

225141220 is a wasteful number, since it uses less digits than its factorization.

225141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 225141220 is about 15004.7065949321. The cubic root of 225141220 is about 608.3474216207.

Adding to 225141220 its reverse (22141522), we get a palindrome (247282742).

The spelling of 225141220 in words is "two hundred twenty-five million, one hundred forty-one thousand, two hundred twenty".