225697248 has 72 divisors (see below), whose sum is σ = 733522608. Its totient is φ = 64484352.

The previous prime is 225697237. The next prime is 225697249. The reversal of 225697248 is 842796522.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225697249) 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 11 ways as a sum of consecutive naturals, for example, 53961 + ... + 57992.

It is an arithmetic number, because the mean of its divisors is an integer number (10187814).

Almost surely, 2^225697248 is an apocalyptic number.

225697248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225697248 is an abundant number, since it is smaller than the sum of its proper divisors (507825360).

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

225697248 is a wasteful number, since it uses less digits than its factorization.

225697248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111976 (or 111965 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 225697248 is about 15023.2236221125. The cubic root of 225697248 is about 608.8478188348.

The spelling of 225697248 in words is "two hundred twenty-five million, six hundred ninety-seven thousand, two hundred forty-eight".