229230022754304 has 2432 divisors, whose sum is σ = 855716914483200. Its totient is φ = 59644512829440.

The previous prime is 229230022754287. The next prime is 229230022754329. The reversal of 229230022754304 is 403457220032922.

229230022754304 is a `hidden beast` number, since 2 + 2 + 92 + 30 + 0 + 227 + 5 + 4 + 304 = 666.

It is a super-3 number, since 3×229230022754304³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229230022754304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1001004466062 + ... + 1001004466290.

Almost surely, 2^{229230022754304} is an apocalyptic number.

229230022754304 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 229230022754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427858457241600).

229230022754304 is an abundant number, since it is smaller than the sum of its proper divisors (626486891728896).

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

229230022754304 is a wasteful number, since it uses less digits than its factorization.

229230022754304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 229230022754304 in words is "two hundred twenty-nine trillion, two hundred thirty billion, twenty-two million, seven hundred fifty-four thousand, three hundred four".