229819440 has 160 divisors (see below), whose sum is σ = 758880000. Its totient is φ = 57369600.

The previous prime is 229819439. The next prime is 229819441. The reversal of 229819440 is 44918922.

It is an interprime number because it is at equal distance from previous prime (229819439) and next prime (229819441).

It is not an unprimeable number, because it can be changed into a prime (229819441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460311 + ... + 460809.

It is an arithmetic number, because the mean of its divisors is an integer number (4743000).

Almost surely, 2^229819440 is an apocalyptic number.

229819440 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 229819440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379440000).

229819440 is an abundant number, since it is smaller than the sum of its proper divisors (529060560).

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

229819440 is a wasteful number, since it uses less digits than its factorization.

229819440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 229819440 is about 15159.7968324117. The cubic root of 229819440 is about 612.5321954477.

The spelling of 229819440 in words is "two hundred twenty-nine million, eight hundred nineteen thousand, four hundred forty".