225332064 has 96 divisors (see below), whose sum is σ = 673354080. Its totient is φ = 73267200.

The previous prime is 225332027. The next prime is 225332071. The reversal of 225332064 is 460233522.

225332064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32244 + ... + 38604.

It is an arithmetic number, because the mean of its divisors is an integer number (7014105).

Almost surely, 2^225332064 is an apocalyptic number.

225332064 is a gapful number since it is divisible by the number (24) 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 225332064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336677040).

225332064 is an abundant number, since it is smaller than the sum of its proper divisors (448022016).

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

225332064 is a wasteful number, since it uses less digits than its factorization.

225332064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 225332064 is about 15011.0647190664. The cubic root of 225332064 is about 608.5192643814.

Adding to 225332064 its reverse (460233522), we get a palindrome (685565586).

The spelling of 225332064 in words is "two hundred twenty-five million, three hundred thirty-two thousand, sixty-four".