229760647200 has 810 divisors, whose sum is σ = 978328021671. Its totient is φ = 52321489920.

The previous prime is 229760647187. The next prime is 229760647201. The reversal of 229760647200 is 2746067922.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 3157990416 + 226602656784 = 56196^2 + 476028^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338940.

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 (229760647201) 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 134 ways as a sum of consecutive naturals, for example, 854128666 + ... + 854128934.

Almost surely, 2^229760647200 is an apocalyptic number.

229760647200 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 229760647200

229760647200 is an abundant number, since it is smaller than the sum of its proper divisors (748567374471).

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

229760647200 is an equidigital number, since it uses as much as digits as its factorization.

229760647200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 229760647200 in words is "two hundred twenty-nine billion, seven hundred sixty million, six hundred forty-seven thousand, two hundred".