229027365504 has 192 divisors, whose sum is σ = 762736416000. Its totient is φ = 64607901696.

The previous prime is 229027365503. The next prime is 229027365509. The reversal of 229027365504 is 405563720922.

229027365504 is a `hidden beast` number, since 2 + 2 + 90 + 2 + 7 + 3 + 6 + 550 + 4 = 666.

229027365504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 229027365504.

It is not an unprimeable number, because it can be changed into a prime (229027365503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457302 + ... + 816810.

It is an arithmetic number, because the mean of its divisors is an integer number (3972585500).

Almost surely, 2^229027365504 is an apocalyptic number.

229027365504 is a gapful number since it is divisible by the number (24) 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 229027365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381368208000).

229027365504 is an abundant number, since it is smaller than the sum of its proper divisors (533709050496).

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

229027365504 is a wasteful number, since it uses less digits than its factorization.

229027365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359615 (or 359600 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 229027365504 in words is "two hundred twenty-nine billion, twenty-seven million, three hundred sixty-five thousand, five hundred four".