230985216 has 480 divisors, whose sum is σ = 895656960. Its totient is φ = 58060800.

The previous prime is 230985211. The next prime is 230985257. The reversal of 230985216 is 612589032.

230985216 = 43³ + 44³ + ... + 174³.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230985211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7451121 + ... + 7451151.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 2^230985216 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 230985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447828480).

230985216 is an abundant number, since it is smaller than the sum of its proper divisors (664671744).

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

230985216 is a wasteful number, since it uses less digits than its factorization.

230985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 230985216 is about 15198.1977878958. The cubic root of 230985216 is about 613.5661539964.

The spelling of 230985216 in words is "two hundred thirty million, nine hundred eighty-five thousand, two hundred sixteen".