2267200 has 84 divisors (see below), whose sum is σ = 6062980. Its totient is φ = 829440.

The previous prime is 2267197. The next prime is 2267203. The reversal of 2267200 is 27622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2267197) and next prime (2267203).

It can be written as a sum of positive squares in 6 ways, for example, as 123904 + 2143296 = 352^2 + 1464^2 .

It is not an unprimeable number, because it can be changed into a prime (2267203) 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, 20746 + ... + 20854.

2^2267200 is an apocalyptic number.

2267200 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 2267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031490).

2267200 is an abundant number, since it is smaller than the sum of its proper divisors (3795780).

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

2267200 is a wasteful number, since it uses less digits than its factorization.

2267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 2267200 is about 1505.7224179775. The cubic root of 2267200 is about 131.3701243406.

The spelling of 2267200 in words is "two million, two hundred sixty-seven thousand, two hundred".