230211072 has 400 divisors, whose sum is σ = 859549152. Its totient is φ = 59719680.

The previous prime is 230211067. The next prime is 230211073. The reversal of 230211072 is 270112032.

It is a super-3 number, since 3×230211072³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230211073) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3773922 + ... + 3773982.

Almost surely, 2^230211072 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 230211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429774576).

230211072 is an abundant number, since it is smaller than the sum of its proper divisors (629338080).

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

230211072 is an equidigital number, since it uses as much as digits as its factorization.

230211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 230211072 is about 15172.7081300604. The cubic root of 230211072 is about 612.8799337633.

The spelling of 230211072 in words is "two hundred thirty million, two hundred eleven thousand, seventy-two".