2209200 has 120 divisors (see below), whose sum is σ = 8118528. Its totient is φ = 503040.

The previous prime is 2209189. The next prime is 2209213. The reversal of 2209200 is 29022.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2209200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8269 + ... + 8531.

2^2209200 is an apocalyptic number.

2209200 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 2209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059264).

2209200 is an abundant number, since it is smaller than the sum of its proper divisors (5909328).

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

2209200 is a wasteful number, since it uses less digits than its factorization.

2209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2209200 is about 1486.3377812597. The cubic root of 2209200 is about 130.2401871223.

The spelling of 2209200 in words is "two million, two hundred nine thousand, two hundred".