224361225 has 144 divisors (see below), whose sum is σ = 471011520. Its totient is φ = 104544000.

The previous prime is 224361199. The next prime is 224361227. The reversal of 224361225 is 522163422.

It is a happy number.

224361225 is a `hidden beast` number, since 2 + 2 + 43 + 612 + 2 + 5 = 666.

It is not a de Polignac number, because 224361225 - 2¹² = 224357129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224361227) 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 143 ways as a sum of consecutive naturals, for example, 3348642 + ... + 3348708.

Almost surely, 2^224361225 is an apocalyptic number.

224361225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

224361225 is an abundant number, since it is smaller than the sum of its proper divisors (246650295).

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

224361225 is a wasteful number, since it uses less digits than its factorization.

224361225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 224361225 is about 14978.6923661580. The cubic root of 224361225 is about 607.6440749581.

The spelling of 224361225 in words is "two hundred twenty-four million, three hundred sixty-one thousand, two hundred twenty-five".