229003905312 has 864 divisors, whose sum is σ = 856134849024. Its totient is φ = 57480192000.

The previous prime is 229003905301. The next prime is 229003905313. The reversal of 229003905312 is 213509300922.

229003905312 is a `hidden beast` number, since 2 + 2 + 90 + 0 + 39 + 0 + 531 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (229003905313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381037812 + ... + 381038412.

It is an arithmetic number, because the mean of its divisors is an integer number (990896816).

Almost surely, 2^229003905312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229003905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428067424512).

229003905312 is an abundant number, since it is smaller than the sum of its proper divisors (627130943712).

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

229003905312 is a wasteful number, since it uses less digits than its factorization.

229003905312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 229003905312 in words is "two hundred twenty-nine billion, three million, nine hundred five thousand, three hundred twelve".