205231488 has 192 divisors, whose sum is σ = 685896960. Its totient is φ = 53222400.

The previous prime is 205231447. The next prime is 205231513. The reversal of 205231488 is 884132502.

205231488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324933 + ... + 325563.

It is an arithmetic number, because the mean of its divisors is an integer number (3572380).

Almost surely, 2^205231488 is an apocalyptic number.

205231488 is a gapful number since it is divisible by the number (28) 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 205231488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342948480).

205231488 is an abundant number, since it is smaller than the sum of its proper divisors (480665472).

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

205231488 is a wasteful number, since it uses less digits than its factorization.

205231488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 205231488 is about 14325.9026940713. The cubic root of 205231488 is about 589.8587117394.

The spelling of 205231488 in words is "two hundred five million, two hundred thirty-one thousand, four hundred eighty-eight".