225243000 has 192 divisors, whose sum is σ = 788486400. Its totient is φ = 57926400.

The previous prime is 225242981. The next prime is 225243001. The reversal of 225243000 is 342522.

225243000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225243001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260569 + ... + 261431.

It is an arithmetic number, because the mean of its divisors is an integer number (4106700).

Almost surely, 2^225243000 is an apocalyptic number.

225243000 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 225243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394243200).

225243000 is an abundant number, since it is smaller than the sum of its proper divisors (563243400).

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

225243000 is a wasteful number, since it uses less digits than its factorization.

225243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 225243000 is about 15008.0978141802. The cubic root of 225243000 is about 608.4390800511.

Adding to 225243000 its reverse (342522), we get a palindrome (225585522).

The spelling of 225243000 in words is "two hundred twenty-five million, two hundred forty-three thousand".