224093358225 has 243 divisors, whose sum is σ = 468728239707. Its totient is φ = 102251160000.

The previous prime is 224093358197. The next prime is 224093358227. The reversal of 224093358225 is 522853390422.

The square root of 224093358225 is 473385.

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

224093358225 is a `hidden beast` number, since 2 + 2 + 40 + 9 + 3 + 3 + 582 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80673608961 + 143419749264 = 284031^2 + 378708^2 .

It is not a de Polignac number, because 224093358225 - 2¹⁷ = 224093227153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (224093358227) 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 242 ways as a sum of consecutive naturals, for example, 1484061900 + ... + 1484062050.

Almost surely, 2^224093358225 is an apocalyptic number.

224093358225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

224093358225 is the 473385-th square number.

224093358225 is the 236693-rd centered octagonal number.

It is an amenable number.

224093358225 is an abundant number, since it is smaller than the sum of its proper divisors (244634881482).

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

224093358225 is a wasteful number, since it uses less digits than its factorization.

224093358225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 224093358225 in words is "two hundred twenty-four billion, ninety-three million, three hundred fifty-eight thousand, two hundred twenty-five".