209140000 has 60 divisors (see below), whose sum is σ = 514564974. Its totient is φ = 83648000.

The previous prime is 209139991. The next prime is 209140091. The reversal of 209140000 is 41902.

It can be written as a sum of positive squares in 5 ways, for example, as 23853456 + 185286544 = 4884^2 + 13612^2 .

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

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 14772 + ... + 25228.

Almost surely, 2^209140000 is an apocalyptic number.

209140000 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 209140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257282487).

209140000 is an abundant number, since it is smaller than the sum of its proper divisors (305424974).

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

209140000 is an equidigital number, since it uses as much as digits as its factorization.

209140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 209140000 is about 14461.6734854580. The cubic root of 209140000 is about 593.5796926137.

Adding to 209140000 its reverse (41902), we get a palindrome (209181902).

The spelling of 209140000 in words is "two hundred nine million, one hundred forty thousand".