225951066 has 64 divisors (see below), whose sum is σ = 554480640. Its totient is φ = 67630320.

The previous prime is 225951049. The next prime is 225951067. The reversal of 225951066 is 660159522.

225951066 is a `hidden beast` number, since 2 + 2 + 595 + 1 + 0 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225951066.

It is not an unprimeable number, because it can be changed into a prime (225951067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47011 + ... + 51593.

It is an arithmetic number, because the mean of its divisors is an integer number (8663760).

Almost surely, 2^225951066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225951066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277240320).

225951066 is an abundant number, since it is smaller than the sum of its proper divisors (328529574).

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

225951066 is a wasteful number, since it uses less digits than its factorization.

225951066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 225951066 is about 15031.6687696343. The cubic root of 225951066 is about 609.0759690713.

The spelling of 225951066 in words is "two hundred twenty-five million, nine hundred fifty-one thousand, sixty-six".