2235200 has 84 divisors (see below), whose sum is σ = 6047232. Its totient is φ = 806400.

The previous prime is 2235199. The next prime is 2235221. The reversal of 2235200 is 25322.

It is a super-2 number, since 2×2235200² = 9992238080000, 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, 17537 + ... + 17663.

2^2235200 is an apocalyptic number.

2235200 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 2235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023616).

2235200 is an abundant number, since it is smaller than the sum of its proper divisors (3812032).

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

2235200 is a wasteful number, since it uses less digits than its factorization.

2235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 2235200 is about 1495.0585272825. The cubic root of 2235200 is about 130.7491265341.

It can be divided in two parts, 22 and 35200, that multiplied together give a square (774400 = 880²).

The spelling of 2235200 in words is "two million, two hundred thirty-five thousand, two hundred".