224320640625 has 105 divisors (see below), whose sum is σ = 419862262413. Its totient is φ = 119353500000.

The previous prime is 224320640597. The next prime is 224320640627. The reversal of 224320640625 is 526046023422.

The square root of 224320640625 is 473625.

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

224320640625 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 2 + 0 + 640 + 6 + 2 + 5 = 666.

224320640625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 38752678449 + 185567962176 = 196857^2 + 430776^2 .

It is not a de Polignac number, because 224320640625 - 2⁷ = 224320640497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 224320640625.

It is not an unprimeable number, because it can be changed into a prime (224320640627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 532827915 + ... + 532828335.

Almost surely, 2^224320640625 is an apocalyptic number.

224320640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

224320640625 is the 473625-th square number.

224320640625 is the 236813-rd centered octagonal number.

It is an amenable number.

224320640625 is a deficient number, since it is larger than the sum of its proper divisors (195541621788).

224320640625 is an frugal number, since it uses more digits than its factorization.

224320640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 224320640625 by its sum of digits (36), we get a square (8075543062500 = 2841750²).

The spelling of 224320640625 in words is "two hundred twenty-four billion, three hundred twenty million, six hundred forty thousand, six hundred twenty-five".