229513420800 has 504 divisors, whose sum is σ = 827142282720. Its totient is φ = 60830515200.

The previous prime is 229513420793. The next prime is 229513420823. The reversal of 229513420800 is 8024315922.

It is a happy number.

229513420800 is a `hidden beast` number, since 2 + 29 + 513 + 42 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 440524540 + ... + 440525060.

Almost surely, 2^229513420800 is an apocalyptic number.

229513420800 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 229513420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413571141360).

229513420800 is an abundant number, since it is smaller than the sum of its proper divisors (597628861920).

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

229513420800 is a wasteful number, since it uses less digits than its factorization.

229513420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 229513420800 in words is "two hundred twenty-nine billion, five hundred thirteen million, four hundred twenty thousand, eight hundred".