229765248 has 192 divisors, whose sum is σ = 701719200. Its totient is φ = 74815488.

The previous prime is 229765241. The next prime is 229765253. The reversal of 229765248 is 842567922.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (229765241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2581588 + ... + 2581676.

Almost surely, 2^229765248 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 229765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350859600).

229765248 is an abundant number, since it is smaller than the sum of its proper divisors (471953952).

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

229765248 is an frugal number, since it uses more digits than its factorization.

229765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 229765248 is about 15158.0093679876. The cubic root of 229765248 is about 612.4840461206.

It can be divided in two parts, 22976 and 5248, that added together give a square (28224 = 168²).

The spelling of 229765248 in words is "two hundred twenty-nine million, seven hundred sixty-five thousand, two hundred forty-eight".