225235584 has 384 divisors, whose sum is σ = 824878080. Its totient is φ = 57507840.

The previous prime is 225235561. The next prime is 225235589. The reversal of 225235584 is 485532522.

It is a happy number.

225235584 is a `hidden beast` number, since 2 + 2 + 523 + 55 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (96000) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (225235589) 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, 4249702 + ... + 4249754.

It is an arithmetic number, because the mean of its divisors is an integer number (2148120).

Almost surely, 2^225235584 is an apocalyptic number.

225235584 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 225235584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412439040).

225235584 is an abundant number, since it is smaller than the sum of its proper divisors (599642496).

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

225235584 is a wasteful number, since it uses less digits than its factorization.

225235584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 225235584 is about 15007.8507455265. The cubic root of 225235584 is about 608.4324024722.

The spelling of 225235584 in words is "two hundred twenty-five million, two hundred thirty-five thousand, five hundred eighty-four".