230314012020 has 144 divisors (see below), whose sum is σ = 743471256528. Its totient is φ = 57510727680.

The previous prime is 230314012009. The next prime is 230314012021. The reversal of 230314012020 is 20210413032.

230314012020 is a `hidden beast` number, since 2 + 30 + 31 + 401 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7307172324 + 223006839696 = 85482^2 + 472236^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 230314011984 and 230314012002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230314012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411790 + ... + 793850.

It is an arithmetic number, because the mean of its divisors is an integer number (5162994837).

Almost surely, 2^230314012020 is an apocalyptic number.

230314012020 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 230314012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371735628264).

230314012020 is an abundant number, since it is smaller than the sum of its proper divisors (513157244508).

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

230314012020 is a wasteful number, since it uses less digits than its factorization.

230314012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382290 (or 382285 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230314012020 its reverse (20210413032), we get a palindrome (250524425052).

The spelling of 230314012020 in words is "two hundred thirty billion, three hundred fourteen million, twelve thousand, twenty".