229575360 has 224 divisors, whose sum is σ = 842711040. Its totient is φ = 51867648.

The previous prime is 229575349. The next prime is 229575373. The reversal of 229575360 is 63575922.

229575360 = 1281² + 1282² + ... + 1407².

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853306 + ... + 853574.

Almost surely, 2^229575360 is an apocalyptic number.

229575360 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 229575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421355520).

229575360 is an abundant number, since it is smaller than the sum of its proper divisors (613135680).

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

229575360 is a wasteful number, since it uses less digits than its factorization.

229575360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 229575360 is about 15151.7444540224. The cubic root of 229575360 is about 612.3152717945.

The spelling of 229575360 in words is "two hundred twenty-nine million, five hundred seventy-five thousand, three hundred sixty".