229920768 has 364 divisors, whose sum is σ = 859465248. Its totient is φ = 59719680.

The previous prime is 229920763. The next prime is 229920793. The reversal of 229920768 is 867029922.

It is a super-4 number, since 4×229920768⁴ (a number of 35 digits) contains 4444 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229920763) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20901883 + ... + 20901893.

Almost surely, 2^229920768 is an apocalyptic number.

229920768 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 229920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429732624).

229920768 is an abundant number, since it is smaller than the sum of its proper divisors (629544480).

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

229920768 is an frugal number, since it uses more digits than its factorization.

229920768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 229920768 is about 15163.1384614136. The cubic root of 229920768 is about 612.6222045766.

The spelling of 229920768 in words is "two hundred twenty-nine million, nine hundred twenty thousand, seven hundred sixty-eight".