229414502400 has 384 divisors, whose sum is σ = 763583411760. Its totient is φ = 60775464960.

The previous prime is 229414502377. The next prime is 229414502413. The reversal of 229414502400 is 4205414922.

It is a happy number.

229414502400 is digitally balanced in base 3, 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 (384).

It is a super-2 number, since 2×229414502400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680755032 + ... + 680755368.

Almost surely, 2^229414502400 is an apocalyptic number.

229414502400 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 229414502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381791705880).

229414502400 is an abundant number, since it is smaller than the sum of its proper divisors (534168909360).

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

229414502400 is an equidigital number, since it uses as much as digits as its factorization.

229414502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 229414502400 in words is "two hundred twenty-nine billion, four hundred fourteen million, five hundred two thousand, four hundred".