229808040 has 576 divisors, whose sum is σ = 982497600. Its totient is φ = 42577920.

The previous prime is 229808017. The next prime is 229808041. The reversal of 229808040 is 40808922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 229807992 and 229808010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229808041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12095151 + ... + 12095169.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 2^229808040 is an apocalyptic number.

229808040 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 229808040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491248800).

229808040 is an abundant number, since it is smaller than the sum of its proper divisors (752689560).

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

229808040 is a wasteful number, since it uses less digits than its factorization.

229808040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 229808040 is about 15159.4208332640. The cubic root of 229808040 is about 612.5220672322.

The spelling of 229808040 in words is "two hundred twenty-nine million, eight hundred eight thousand, forty".