225304240400 has 30 divisors (see below), whose sum is σ = 541293438522. Its totient is φ = 90121696000.

The previous prime is 225304240367. The next prime is 225304240409. The reversal of 225304240400 is 4042403522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3512221696 + 221792018704 = 59264^2 + 470948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225304240400.

It is not an unprimeable number, because it can be changed into a prime (225304240409) 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 5 ways as a sum of consecutive naturals, for example, 281629901 + ... + 281630700.

Almost surely, 2^225304240400 is an apocalyptic number.

225304240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225304240400 is an abundant number, since it is smaller than the sum of its proper divisors (315989198122).

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

225304240400 is a wasteful number, since it uses less digits than its factorization.

225304240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563260619 (or 563260608 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 225304240400 its reverse (4042403522), we get a palindrome (229346643922).

The spelling of 225304240400 in words is "two hundred twenty-five billion, three hundred four million, two hundred forty thousand, four hundred".