225908352 has 144 divisors (see below), whose sum is σ = 677552850. Its totient is φ = 75022848.

The previous prime is 225908329. The next prime is 225908381. The reversal of 225908352 is 253809522.

It can be written as a sum of positive squares in only one way, i.e., 222129216 + 3779136 = 14904^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839674 + ... + 839942.

Almost surely, 2^225908352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338776425).

225908352 is an abundant number, since it is smaller than the sum of its proper divisors (451644498).

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

225908352 is an frugal number, since it uses more digits than its factorization.

225908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225908352 is about 15030.2479021472. The cubic root of 225908352 is about 609.0375865564.

The spelling of 225908352 in words is "two hundred twenty-five million, nine hundred eight thousand, three hundred fifty-two".