229138850304 has 480 divisors, whose sum is σ = 824342238720. Its totient is φ = 59658633216.

The previous prime is 229138850279. The next prime is 229138850309. The reversal of 229138850304 is 403058831922.

229138850304 is a `hidden beast` number, since 2 + 2 + 9 + 138 + 8 + 503 + 0 + 4 = 666.

It is a super-2 number, since 2×229138850304² (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 229138850304.

It is not an unprimeable number, because it can be changed into a prime (229138850309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33123454 + ... + 33130370.

It is an arithmetic number, because the mean of its divisors is an integer number (1717379664).

Almost surely, 2^229138850304 is an apocalyptic number.

229138850304 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 229138850304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412171119360).

229138850304 is an abundant number, since it is smaller than the sum of its proper divisors (595203388416).

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

229138850304 is a wasteful number, since it uses less digits than its factorization.

229138850304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 229138850304 in words is "two hundred twenty-nine billion, one hundred thirty-eight million, eight hundred fifty thousand, three hundred four".