209833940 has 24 divisors (see below), whose sum is σ = 442231272. Its totient is φ = 83632640.

The previous prime is 209833909. The next prime is 209833951. The reversal of 209833940 is 49338902.

209833940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 47169424 + 162664516 = 6868^2 + 12754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 209833894 and 209833903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13049 + ... + 24288.

It is an arithmetic number, because the mean of its divisors is an integer number (18426303).

Almost surely, 2^209833940 is an apocalyptic number.

209833940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209833940 is an abundant number, since it is smaller than the sum of its proper divisors (232397332).

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

209833940 is a wasteful number, since it uses less digits than its factorization.

209833940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37627 (or 37625 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 209833940 is about 14485.6459987120. The cubic root of 209833940 is about 594.2354797260.

The spelling of 209833940 in words is "two hundred nine million, eight hundred thirty-three thousand, nine hundred forty".