229533350400 has 960 divisors, whose sum is σ = 877166357760. Its totient is φ = 58746470400.

The previous prime is 229533350341. The next prime is 229533350513. The reversal of 229533350400 is 4053335922.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1374451117 + ... + 1374451283.

It is an arithmetic number, because the mean of its divisors is an integer number (913714956).

Almost surely, 2^229533350400 is an apocalyptic number.

229533350400 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 229533350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438583178880).

229533350400 is an abundant number, since it is smaller than the sum of its proper divisors (647633007360).

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

229533350400 is a wasteful number, since it uses less digits than its factorization.

229533350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 229533350400 in words is "two hundred twenty-nine billion, five hundred thirty-three million, three hundred fifty thousand, four hundred".