206242000 has 80 divisors (see below), whose sum is σ = 504123984. Its totient is φ = 81600000.

The previous prime is 206241983. The next prime is 206242019. The reversal of 206242000 is 242602.

It can be written as a sum of positive squares in 8 ways, for example, as 14807104 + 191434896 = 3848^2 + 13836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 201490 + ... + 202510.

Almost surely, 2^206242000 is an apocalyptic number.

206242000 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 206242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252061992).

206242000 is an abundant number, since it is smaller than the sum of its proper divisors (297881984).

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

206242000 is a wasteful number, since it uses less digits than its factorization.

206242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 206242000 is about 14361.1280893946. The cubic root of 206242000 is about 590.8252360837.

Adding to 206242000 its reverse (242602), we get a palindrome (206484602).

The spelling of 206242000 in words is "two hundred six million, two hundred forty-two thousand".