225870841 has 27 divisors (see below), whose sum is σ = 279780111. Its totient is φ = 181790784.

The previous prime is 225870817. The next prime is 225870847. The reversal of 225870841 is 148078522.

The square root of 225870841 is 15029.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3980025 + 221890816 = 1995^2 + 14896^2 .

It is not a de Polignac number, because 225870841 - 2⁷ = 225870713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225870841.

It is not an unprimeable number, because it can be changed into a prime (225870847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1998801 + ... + 1998913.

Almost surely, 2^225870841 is an apocalyptic number.

225870841 is the 15029-th square number.

225870841 is the 7515-th centered octagonal number.

It is an amenable number.

225870841 is a deficient number, since it is larger than the sum of its proper divisors (53909270).

225870841 is an equidigital number, since it uses as much as digits as its factorization.

225870841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The cubic root of 225870841 is about 609.0038754322.

The spelling of 225870841 in words is "two hundred twenty-five million, eight hundred seventy thousand, eight hundred forty-one".