225228384 has 192 divisors, whose sum is σ = 694008000. Its totient is φ = 70963200.

The previous prime is 225228383. The next prime is 225228449. The reversal of 225228384 is 483822522.

225228384 is a `hidden beast` number, since 2 + 252 + 28 + 384 = 666.

225228384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225228383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229934 + ... + 2230034.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^225228384 is an apocalyptic number.

225228384 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 225228384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347004000).

225228384 is an abundant number, since it is smaller than the sum of its proper divisors (468779616).

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

225228384 is a wasteful number, since it uses less digits than its factorization.

225228384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 225228384 is about 15007.6108691557. The cubic root of 225228384 is about 608.4259192456.

The spelling of 225228384 in words is "two hundred twenty-five million, two hundred twenty-eight thousand, three hundred eighty-four".