229199904 has 144 divisors (see below), whose sum is σ = 678584088. Its totient is φ = 73322496.

The previous prime is 229199891. The next prime is 229199909. The reversal of 229199904 is 409991922.

229199904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 217503504 + 11696400 = 14748^2 + 3420^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 229199904.

It is not an unprimeable number, because it can be changed into a prime (229199909) 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, 1459794 + ... + 1459950.

Almost surely, 2^229199904 is an apocalyptic number.

229199904 is a gapful number since it is divisible by the number (24) 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 229199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292044).

229199904 is an abundant number, since it is smaller than the sum of its proper divisors (449384184).

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

229199904 is a wasteful number, since it uses less digits than its factorization.

229199904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 229199904 is about 15139.3495236751. The cubic root of 229199904 is about 611.9812886756.

It can be divided in two parts, 22919 and 9904, that added together give a palindrome (32823).

The spelling of 229199904 in words is "two hundred twenty-nine million, one hundred ninety-nine thousand, nine hundred four".