225847980 has 96 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 59488704.

The previous prime is 225847949. The next prime is 225847981. The reversal of 225847980 is 89748522.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (225847981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42301 + ... + 47339.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^225847980 is an apocalyptic number.

225847980 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 225847980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355622400).

225847980 is an abundant number, since it is smaller than the sum of its proper divisors (485396820).

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

225847980 is a wasteful number, since it uses less digits than its factorization.

225847980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 225847980 is about 15028.2394178427. The cubic root of 225847980 is about 608.9833284281.

The spelling of 225847980 in words is "two hundred twenty-five million, eight hundred forty-seven thousand, nine hundred eighty".