225435520 has 64 divisors (see below), whose sum is σ = 542489040. Its totient is φ = 89579520.

The previous prime is 225435499. The next prime is 225435523. The reversal of 225435520 is 25534522.

225435520 is digitally balanced in base 3, 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225435523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103240 + ... + 105400.

Almost surely, 2^225435520 is an apocalyptic number.

225435520 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 225435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271244520).

225435520 is an abundant number, since it is smaller than the sum of its proper divisors (317053520).

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

225435520 is a wasteful number, since it uses less digits than its factorization.

225435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 225435520 is about 15014.5103150253. The cubic root of 225435520 is about 608.6123793093.

The spelling of 225435520 in words is "two hundred twenty-five million, four hundred thirty-five thousand, five hundred twenty".