2265200 has 60 divisors (see below), whose sum is σ = 6227280. Its totient is φ = 775680.

The previous prime is 2265173. The next prime is 2265223. The reversal of 2265200 is 25622.

It is a super-2 number, since 2×2265200² = 10262262080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2396 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

2^2265200 is an apocalyptic number.

2265200 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 2265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113640).

2265200 is an abundant number, since it is smaller than the sum of its proper divisors (3962080).

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

2265200 is a wasteful number, since it uses less digits than its factorization.

2265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2265200 is about 1505.0581384119. The cubic root of 2265200 is about 131.3314837936.

The spelling of 2265200 in words is "two million, two hundred sixty-five thousand, two hundred".