230188416 has 128 divisors (see below), whose sum is σ = 649209600. Its totient is φ = 72112128.

The previous prime is 230188403. The next prime is 230188459. The reversal of 230188416 is 614881032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591550 + ... + 591938.

It is an arithmetic number, because the mean of its divisors is an integer number (5071950).

Almost surely, 2^230188416 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 230188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

230188416 is an abundant number, since it is smaller than the sum of its proper divisors (419021184).

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

230188416 is a wasteful number, since it uses less digits than its factorization.

230188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 230188416 is about 15171.9615079923. The cubic root of 230188416 is about 612.8598277751.

The spelling of 230188416 in words is "two hundred thirty million, one hundred eighty-eight thousand, four hundred sixteen".