229505040 has 120 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 58536192.

The previous prime is 229505021. The next prime is 229505069. The reversal of 229505040 is 40505922.

229505040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 229504995 and 229505013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9631 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^229505040 is an apocalyptic number.

229505040 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 229505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

229505040 is an abundant number, since it is smaller than the sum of its proper divisors (574818480).

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

229505040 is a wasteful number, since it uses less digits than its factorization.

229505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13901 (or 13892 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 229505040 is about 15149.4237514171. The cubic root of 229505040 is about 612.2527470722.

The spelling of 229505040 in words is "two hundred twenty-nine million, five hundred five thousand, forty".