229072032 has 216 divisors, whose sum is σ = 774367776. Its totient is φ = 62913024.

The previous prime is 229072021. The next prime is 229072087. The reversal of 229072032 is 230270922.

229072032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 229071987 and 229072005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2759863 + ... + 2759945.

It is an arithmetic number, because the mean of its divisors is an integer number (3585036).

Almost surely, 2^229072032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387183888).

229072032 is an abundant number, since it is smaller than the sum of its proper divisors (545295744).

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

229072032 is a wasteful number, since it uses less digits than its factorization.

229072032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 229072032 is about 15135.1257675647. The cubic root of 229072032 is about 611.8674581613.

The spelling of 229072032 in words is "two hundred twenty-nine million, seventy-two thousand, thirty-two".