225348697800 has 324 divisors, whose sum is σ = 772888002705. Its totient is φ = 58841608320.

The previous prime is 225348697793. The next prime is 225348697811. The reversal of 225348697800 is 8796843522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

225348697800 is a `hidden beast` number, since 22 + 53 + 486 + 97 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 220841723844 + 4506973956 = 469938^2 + 67134^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335670.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1349393317 + ... + 1349393483.

Almost surely, 2^225348697800 is an apocalyptic number.

225348697800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225348697800

225348697800 is an abundant number, since it is smaller than the sum of its proper divisors (547539304905).

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

225348697800 is a wasteful number, since it uses less digits than its factorization.

225348697800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 225348697800 in words is "two hundred twenty-five billion, three hundred forty-eight million, six hundred ninety-seven thousand, eight hundred".