225315000 has 160 divisors (see below), whose sum is σ = 782562000. Its totient is φ = 60048000.

The previous prime is 225314989. The next prime is 225315001. The reversal of 225315000 is 513522.

It is a happy number.

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 (225315001) 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 39 ways as a sum of consecutive naturals, for example, 134166 + ... + 135834.

Almost surely, 2^225315000 is an apocalyptic number.

225315000 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 225315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391281000).

225315000 is an abundant number, since it is smaller than the sum of its proper divisors (557247000).

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

225315000 is a wasteful number, since it uses less digits than its factorization.

225315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 225315000 is about 15010.4963275703. The cubic root of 225315000 is about 608.5039032965.

Adding to 225315000 its reverse (513522), we get a palindrome (225828522).

The spelling of 225315000 in words is "two hundred twenty-five million, three hundred fifteen thousand".