229857768 has 192 divisors, whose sum is σ = 754790400. Its totient is φ = 61776000.

The previous prime is 229857757. The next prime is 229857769. The reversal of 229857768 is 867758922.

It is a happy number.

229857768 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 577 + 68 = 666.

229857768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×229857768³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (229857769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915643 + ... + 915893.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^229857768 is an apocalyptic number.

229857768 is a gapful number since it is divisible by the number (28) 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 229857768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

229857768 is an abundant number, since it is smaller than the sum of its proper divisors (524932632).

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

229857768 is a wasteful number, since it uses less digits than its factorization.

229857768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 229857768 is about 15161.0609127462. The cubic root of 229857768 is about 612.5662451188.

The spelling of 229857768 in words is "two hundred twenty-nine million, eight hundred fifty-seven thousand, seven hundred sixty-eight".