209993112 has 96 divisors (see below), whose sum is σ = 688240800. Its totient is φ = 56466432.

The previous prime is 209993107. The next prime is 209993117. The reversal of 209993112 is 211399902.

It is a happy number.

209993112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (209993107) and next prime (209993117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209993117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3687 + ... + 20822.

It is an arithmetic number, because the mean of its divisors is an integer number (7169175).

Almost surely, 2^209993112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209993112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344120400).

209993112 is an abundant number, since it is smaller than the sum of its proper divisors (478247688).

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

209993112 is a wasteful number, since it uses less digits than its factorization.

209993112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24545 (or 24538 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 209993112 is about 14491.1390856620. The cubic root of 209993112 is about 594.3856965173.

The spelling of 209993112 in words is "two hundred nine million, nine hundred ninety-three thousand, one hundred twelve".