225545320 has 256 divisors, whose sum is σ = 702535680. Its totient is φ = 62899200.

The previous prime is 225545297. The next prime is 225545321. The reversal of 225545320 is 23545522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (225545321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1721655 + ... + 1721785.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^225545320 is an apocalyptic number.

225545320 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 225545320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351267840).

225545320 is an abundant number, since it is smaller than the sum of its proper divisors (476990360).

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

225545320 is a wasteful number, since it uses less digits than its factorization.

225545320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 225545320 is about 15018.1663328117. The cubic root of 225545320 is about 608.7111729583.

It can be divided in two parts, 225 and 545320, that added together give a palindrome (545545).

The spelling of 225545320 in words is "two hundred twenty-five million, five hundred forty-five thousand, three hundred twenty".