206144900 has 36 divisors (see below), whose sum is σ = 481747812. Its totient is φ = 76114560.

The previous prime is 206144857. The next prime is 206144903. The reversal of 206144900 is 9441602.

It can be written as a sum of positive squares in 6 ways, for example, as 107584 + 206037316 = 328^2 + 14354^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 206144900.

It is not an unprimeable number, because it can be changed into a prime (206144903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77987 + ... + 80586.

Almost surely, 2^206144900 is an apocalyptic number.

206144900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206144900 is an abundant number, since it is smaller than the sum of its proper divisors (275602912).

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

206144900 is a wasteful number, since it uses less digits than its factorization.

206144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158600 (or 158593 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 206144900 is about 14357.7470377493. The cubic root of 206144900 is about 590.7325001456.

The spelling of 206144900 in words is "two hundred six million, one hundred forty-four thousand, nine hundred".