229312960 has 56 divisors (see below), whose sum is σ = 553797216. Its totient is φ = 90424320.

The previous prime is 229312933. The next prime is 229312961. The reversal of 229312960 is 69213922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229312961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17674 + ... + 27766.

It is an arithmetic number, because the mean of its divisors is an integer number (9889236).

Almost surely, 2^229312960 is an apocalyptic number.

229312960 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 229312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276898608).

229312960 is an abundant number, since it is smaller than the sum of its proper divisors (324484256).

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

229312960 is a wasteful number, since it uses less digits than its factorization.

229312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 229312960 is about 15143.0829093682. The cubic root of 229312960 is about 612.0818948604.

The spelling of 229312960 in words is "two hundred twenty-nine million, three hundred twelve thousand, nine hundred sixty".