225199600704 has 343 divisors, whose sum is σ = 725848687873. Its totient is φ = 69292184832.

The previous prime is 225199600693. The next prime is 225199600721. The reversal of 225199600704 is 407006991522.

The square root of 225199600704 is 474552.

The cubic root of 225199600704 is 6084.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

225199600704 is a `hidden beast` number, since 2 + 2 + 519 + 9 + 60 + 0 + 70 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 193212993600 + 31986607104 = 439560^2 + 178848^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 225199600704.

It is an unprimeable number.

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 48 ways as a sum of consecutive naturals, for example, 17323046202 + ... + 17323046214.

Almost surely, 2^225199600704 is an apocalyptic number.

225199600704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

225199600704 is the 474552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225199600704

225199600704 is an abundant number, since it is smaller than the sum of its proper divisors (500649087169).

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

225199600704 is an frugal number, since it uses more digits than its factorization.

225199600704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 225199600704 in words is "two hundred twenty-five billion, one hundred ninety-nine million, six hundred thousand, seven hundred four".