205114000 has 320 divisors, whose sum is σ = 649958400. Its totient is φ = 62092800.

The previous prime is 205113991. The next prime is 205114003. The reversal of 205114000 is 411502.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (205114003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8917989 + ... + 8918011.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^205114000 is an apocalyptic number.

205114000 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 205114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

205114000 is an abundant number, since it is smaller than the sum of its proper divisors (444844400).

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

205114000 is a wasteful number, since it uses less digits than its factorization.

205114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 205114000 is about 14321.8015626527. The cubic root of 205114000 is about 589.7461322819.

Adding to 205114000 its reverse (411502), we get a palindrome (205525502).

The spelling of 205114000 in words is "two hundred five million, one hundred fourteen thousand".