225506352 has 120 divisors (see below), whose sum is σ = 622085184. Its totient is φ = 70370432.

The previous prime is 225506341. The next prime is 225506357. The reversal of 225506352 is 253605522.

It is a super-2 number, since 2×225506352² = 101706229584695808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225506357) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2107483 + ... + 2107589.

Almost surely, 2^225506352 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 225506352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311042592).

225506352 is an abundant number, since it is smaller than the sum of its proper divisors (396578832).

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

225506352 is a wasteful number, since it uses less digits than its factorization.

225506352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 225506352 is about 15016.8689146573. The cubic root of 225506352 is about 608.6761147814.

The spelling of 225506352 in words is "two hundred twenty-five million, five hundred six thousand, three hundred fifty-two".