225707328 has 252 divisors, whose sum is σ = 822118752. Its totient is φ = 58544640.

The previous prime is 225707323. The next prime is 225707329. The reversal of 225707328 is 823707522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 225707292 and 225707301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225707323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310101 + ... + 310827.

It is an arithmetic number, because the mean of its divisors is an integer number (3262376).

Almost surely, 2^225707328 is an apocalyptic number.

225707328 is a gapful number since it is divisible by the number (28) 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 225707328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411059376).

225707328 is an abundant number, since it is smaller than the sum of its proper divisors (596411424).

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

225707328 is a wasteful number, since it uses less digits than its factorization.

225707328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 225707328 is about 15023.5590989619. The cubic root of 225707328 is about 608.8568827389.

The spelling of 225707328 in words is "two hundred twenty-five million, seven hundred seven thousand, three hundred twenty-eight".