230205267 has 16 divisors (see below), whose sum is σ = 343504000. Its totient is φ = 152363592.

The previous prime is 230205259. The next prime is 230205293. The reversal of 230205267 is 762502032.

It is not a de Polignac number, because 230205267 - 2³ = 230205259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 230205267.

It is not an unprimeable number, because it can be changed into a prime (230204267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26917 + ... + 34422.

It is an arithmetic number, because the mean of its divisors is an integer number (21469000).

Almost surely, 2^230205267 is an apocalyptic number.

230205267 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230205267 is a deficient number, since it is larger than the sum of its proper divisors (113298733).

230205267 is a wasteful number, since it uses less digits than its factorization.

230205267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61487 (or 61481 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230205267 is about 15172.5168314291. The cubic root of 230205267 is about 612.8747822620.

Adding to 230205267 its reverse (762502032), we get a palindrome (992707299).

The spelling of 230205267 in words is "two hundred thirty million, two hundred five thousand, two hundred sixty-seven".