209934144 has 84 divisors (see below), whose sum is σ = 687714144. Its totient is φ = 59980032.

The previous prime is 209934143. The next prime is 209934157. The reversal of 209934144 is 441439902.

209934144 is digitally balanced in base 3, 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 (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 209934099 and 209934108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209934143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22002 + ... + 30065.

Almost surely, 2^209934144 is an apocalyptic number.

209934144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

209934144 is an abundant number, since it is smaller than the sum of its proper divisors (477780000).

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

209934144 is a wasteful number, since it uses less digits than its factorization.

209934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52092 (or 52079 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 209934144 is about 14489.1043201435. The cubic root of 209934144 is about 594.3300549826.

The spelling of 209934144 in words is "two hundred nine million, nine hundred thirty-four thousand, one hundred forty-four".