229530100800 has 2688 divisors, whose sum is σ = 1105337253888. Its totient is φ = 40144896000.

The previous prime is 229530100763. The next prime is 229530100801. The reversal of 229530100800 is 8001035922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (229530100801) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3425822367 + ... + 3425822433.

It is an arithmetic number, because the mean of its divisors is an integer number (411211776).

Almost surely, 2^229530100800 is an apocalyptic number.

229530100800 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 229530100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552668626944).

229530100800 is an abundant number, since it is smaller than the sum of its proper divisors (875807153088).

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

229530100800 is a wasteful number, since it uses less digits than its factorization.

229530100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 229530100800 in words is "two hundred twenty-nine billion, five hundred thirty million, one hundred thousand, eight hundred".