2247200 has 54 divisors (see below), whose sum is σ = 5591439. Its totient is φ = 881920.

The previous prime is 2247173. The next prime is 2247209. The reversal of 2247200 is 27422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1317904 + 929296 = 1148^2 + 964^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1060.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2247209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42374 + ... + 42426.

2^2247200 is an apocalyptic number.

2247200 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 2247200

2247200 is an abundant number, since it is smaller than the sum of its proper divisors (3344239).

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

2247200 is an equidigital number, since it uses as much as digits as its factorization.

2247200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2247200 is about 1499.0663761155. The cubic root of 2247200 is about 130.9826910293.

The spelling of 2247200 in words is "two million, two hundred forty-seven thousand, two hundred".