229218080 has 216 divisors, whose sum is σ = 686067732. Its totient is φ = 72124416.

The previous prime is 229218049. The next prime is 229218083. The reversal of 229218080 is 80812922.

It can be written as a sum of positive squares in 6 ways, for example, as 65480464 + 163737616 = 8092^2 + 12796^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (229218083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324874 + ... + 1325046.

Almost surely, 2^229218080 is an apocalyptic number.

229218080 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 229218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343033866).

229218080 is an abundant number, since it is smaller than the sum of its proper divisors (456849652).

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

229218080 is a wasteful number, since it uses less digits than its factorization.

229218080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 229218080 is about 15139.9498017662. The cubic root of 229218080 is about 611.9974653518.

The spelling of 229218080 in words is "two hundred twenty-nine million, two hundred eighteen thousand, eighty".