225313221 has 48 divisors (see below), whose sum is σ = 368769024. Its totient is φ = 121768416.

The previous prime is 225313219. The next prime is 225313237. The reversal of 225313221 is 122313522.

It is not a de Polignac number, because 225313221 - 2¹ = 225313219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225313241) 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 47 ways as a sum of consecutive naturals, for example, 347920 + ... + 348566.

It is an arithmetic number, because the mean of its divisors is an integer number (7682688).

Almost surely, 2^225313221 is an apocalyptic number.

225313221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225313221 is a deficient number, since it is larger than the sum of its proper divisors (143455803).

225313221 is a wasteful number, since it uses less digits than its factorization.

225313221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 783 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 225313221 is about 15010.4370689197. The cubic root of 225313221 is about 608.5023017886.

Adding to 225313221 its reverse (122313522), we get a palindrome (347626743).

It can be divided in two parts, 22531 and 3221, that added together give a palindrome (25752).

The spelling of 225313221 in words is "two hundred twenty-five million, three hundred thirteen thousand, two hundred twenty-one".