229921203072 has 192 divisors, whose sum is σ = 674284464000. Its totient is φ = 69362979840.

The previous prime is 229921203059. The next prime is 229921203073. The reversal of 229921203072 is 270302129922.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 229921203072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229921203073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10536429 + ... + 10558227.

It is an arithmetic number, because the mean of its divisors is an integer number (3511898250).

Almost surely, 2^229921203072 is an apocalyptic number.

229921203072 is a gapful number since it is divisible by the number (22) 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 229921203072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337142232000).

229921203072 is an abundant number, since it is smaller than the sum of its proper divisors (444363260928).

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

229921203072 is a wasteful number, since it uses less digits than its factorization.

229921203072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22065 (or 22042 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 229921203072 in words is "two hundred twenty-nine billion, nine hundred twenty-one million, two hundred three thousand, seventy-two".