229845280 has 144 divisors (see below), whose sum is σ = 665340480. Its totient is φ = 74608128.

The previous prime is 229845269. The next prime is 229845281. The reversal of 229845280 is 82548922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229845281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148189 + ... + 149731.

It is an arithmetic number, because the mean of its divisors is an integer number (4620420).

Almost surely, 2^229845280 is an apocalyptic number.

229845280 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 229845280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332670240).

229845280 is an abundant number, since it is smaller than the sum of its proper divisors (435495200).

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

229845280 is a wasteful number, since it uses less digits than its factorization.

229845280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 229845280 is about 15160.6490626226. The cubic root of 229845280 is about 612.5551514964. Note that the first 3 decimals are identical.

The spelling of 229845280 in words is "two hundred twenty-nine million, eight hundred forty-five thousand, two hundred eighty".