2227200 has 132 divisors (see below), whose sum is σ = 7614840. Its totient is φ = 573440.

The previous prime is 2227193. The next prime is 2227201. The reversal of 2227200 is 27222.

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 2227200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227201) 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, 76786 + ... + 76814.

2^2227200 is an apocalyptic number.

2227200 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 2227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807420).

2227200 is an abundant number, since it is smaller than the sum of its proper divisors (5387640).

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

2227200 is a wasteful number, since it uses less digits than its factorization.

2227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2227200 is about 1492.3806484942. The cubic root of 2227200 is about 130.5929520824.

The spelling of 2227200 in words is "two million, two hundred twenty-seven thousand, two hundred".