229807230935040 has 1344 divisors, whose sum is σ = 907335521164800. Its totient is φ = 55333017354240.

The previous prime is 229807230935017. The next prime is 229807230935041. The reversal of 229807230935040 is 40539032708922.

229807230935040 is a `hidden beast` number, since 2 + 29 + 8 + 0 + 7 + 23 + 0 + 93 + 504 + 0 = 666.

It is a super-2 number, since 2×229807230935040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229807230935041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16313418877 + ... + 16313432963.

It is an arithmetic number, because the mean of its divisors is an integer number (675100834200).

Almost surely, 2^{229807230935040} is an apocalyptic number.

229807230935040 is a gapful number since it is divisible by the number (20) 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 229807230935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453667760582400).

229807230935040 is an abundant number, since it is smaller than the sum of its proper divisors (677528290229760).

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

229807230935040 is a wasteful number, since it uses less digits than its factorization.

229807230935040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14293 (or 14257 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 229807230935040 in words is "two hundred twenty-nine trillion, eight hundred seven billion, two hundred thirty million, nine hundred thirty-five thousand, forty".