229898962800 has 1200 divisors, whose sum is σ = 953396291232. Its totient is φ = 52553318400.

The previous prime is 229898962739. The next prime is 229898962807. The reversal of 229898962800 is 8269898922.

229898962800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229898962807) 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 239 ways as a sum of consecutive naturals, for example, 694558635 + ... + 694558965.

Almost surely, 2^229898962800 is an apocalyptic number.

229898962800 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 229898962800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476698145616).

229898962800 is an abundant number, since it is smaller than the sum of its proper divisors (723497328432).

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

229898962800 is a wasteful number, since it uses less digits than its factorization.

229898962800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 229898962800 in words is "two hundred twenty-nine billion, eight hundred ninety-eight million, nine hundred sixty-two thousand, eight hundred".