229800960 has 132 divisors (see below), whose sum is σ = 796414008. Its totient is φ = 61267968.

The previous prime is 229800947. The next prime is 229800973. The reversal of 229800960 is 69008922.

It is an interprime number because it is at equal distance from previous prime (229800947) and next prime (229800973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43587 + ... + 48573.

Almost surely, 2^229800960 is an apocalyptic number.

229800960 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 229800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398207004).

229800960 is an abundant number, since it is smaller than the sum of its proper divisors (566613048).

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

229800960 is a wasteful number, since it uses less digits than its factorization.

229800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 229800960 is about 15159.1873133094. The cubic root of 229800960 is about 612.5157769086.

The spelling of 229800960 in words is "two hundred twenty-nine million, eight hundred thousand, nine hundred sixty".