205830288 has 80 divisors (see below), whose sum is σ = 625584960. Its totient is φ = 64571904.

The previous prime is 205830269. The next prime is 205830301. The reversal of 205830288 is 882038502.

It is a super-2 number, since 2×205830288² = 84732214916325888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6670 + ... + 21357.

It is an arithmetic number, because the mean of its divisors is an integer number (7819812).

Almost surely, 2^205830288 is an apocalyptic number.

It is an amenable number.

205830288 is an abundant number, since it is smaller than the sum of its proper divisors (419754672).

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

205830288 is a wasteful number, since it uses less digits than its factorization.

205830288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28061 (or 28049 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 205830288 is about 14346.7866785563. The cubic root of 205830288 is about 590.4318278829.

The spelling of 205830288 in words is "two hundred five million, eight hundred thirty thousand, two hundred eighty-eight".