229133391872 has 384 divisors, whose sum is σ = 610474475520. Its totient is φ = 83235962880.

The previous prime is 229133391869. The next prime is 229133391887. The reversal of 229133391872 is 278193331922.

It is a super-2 number, since 2×229133391872² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229133391872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340465328 + ... + 340466000.

It is an arithmetic number, because the mean of its divisors is an integer number (1589777280).

Almost surely, 2^229133391872 is an apocalyptic number.

229133391872 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 229133391872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305237237760).

229133391872 is an abundant number, since it is smaller than the sum of its proper divisors (381341083648).

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

229133391872 is a wasteful number, since it uses less digits than its factorization.

229133391872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 837 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

The spelling of 229133391872 in words is "two hundred twenty-nine billion, one hundred thirty-three million, three hundred ninety-one thousand, eight hundred seventy-two".