230227680 has 96 divisors (see below), whose sum is σ = 728136864. Its totient is φ = 61147136.

The previous prime is 230227663. The next prime is 230227709. The reversal of 230227680 is 86722032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139822 + ... + 141458.

It is an arithmetic number, because the mean of its divisors is an integer number (7584759).

Almost surely, 2^230227680 is an apocalyptic number.

230227680 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 230227680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364068432).

230227680 is an abundant number, since it is smaller than the sum of its proper divisors (497909184).

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

230227680 is a wasteful number, since it uses less digits than its factorization.

230227680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 230227680 is about 15173.2554186635. The cubic root of 230227680 is about 612.8946716371.

The spelling of 230227680 in words is "two hundred thirty million, two hundred twenty-seven thousand, six hundred eighty".