2207200 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 844800.

The previous prime is 2207197. The next prime is 2207201. The reversal of 2207200 is 27022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2207201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24756 + ... + 24844.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

2^2207200 is an apocalyptic number.

2207200 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 2207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2207200 is an abundant number, since it is smaller than the sum of its proper divisors (3417440).

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

2207200 is a wasteful number, since it uses less digits than its factorization.

2207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2207200 is about 1485.6648343419. The cubic root of 2207200 is about 130.2008728881.

The spelling of 2207200 in words is "two million, two hundred seven thousand, two hundred".