225232000 has 128 divisors (see below), whose sum is σ = 640298880. Its totient is φ = 77184000.

The previous prime is 225231989. The next prime is 225232079. The reversal of 225232000 is 232522.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110995 + ... + 113005.

It is an arithmetic number, because the mean of its divisors is an integer number (5002335).

Almost surely, 2^225232000 is an apocalyptic number.

225232000 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 225232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320149440).

225232000 is an abundant number, since it is smaller than the sum of its proper divisors (415066880).

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

225232000 is an equidigital number, since it uses as much as digits as its factorization.

225232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 225232000 is about 15007.7313408789. The cubic root of 225232000 is about 608.4291752833.

Adding to 225232000 its reverse (232522), we get a palindrome (225464522).

The spelling of 225232000 in words is "two hundred twenty-five million, two hundred thirty-two thousand".