205270000 has 100 divisors (see below), whose sum is σ = 535547320. Its totient is φ = 75744000.

The previous prime is 205269989. The next prime is 205270001. The reversal of 205270000 is 72502.

It is a happy number.

205270000 is digitally balanced in base 2, 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 (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205270001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129211 + ... + 130789.

Almost surely, 2^205270000 is an apocalyptic number.

205270000 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 205270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267773660).

205270000 is an abundant number, since it is smaller than the sum of its proper divisors (330277320).

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

205270000 is a wasteful number, since it uses less digits than its factorization.

205270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 205270000 is about 14327.2467697042. The cubic root of 205270000 is about 589.8956053924.

The spelling of 205270000 in words is "two hundred five million, two hundred seventy thousand".