206122900 has 36 divisors (see below), whose sum is σ = 449289820. Its totient is φ = 82080000.

The previous prime is 206122877. The next prime is 206122901. The reversal of 206122900 is 9221602.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 659344 + 205463556 = 812^2 + 14334^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206122901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18400 + ... + 27400.

Almost surely, 2^206122900 is an apocalyptic number.

206122900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206122900 is an abundant number, since it is smaller than the sum of its proper divisors (243166920).

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

206122900 is a wasteful number, since it uses less digits than its factorization.

206122900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 206122900 is about 14356.9808803940. The cubic root of 206122900 is about 590.7114848673.

It can be divided in two parts, 2061 and 22900, that multiplied together give a square (47196900 = 6870²).

The spelling of 206122900 in words is "two hundred six million, one hundred twenty-two thousand, nine hundred".