2255200 has 36 divisors (see below), whose sum is σ = 5507460. Its totient is φ = 901760.

The previous prime is 2255191. The next prime is 2255233. The reversal of 2255200 is 25522.

2255200 = T₂₇₅ + T₂₇₆ + ... + T₃₂₄.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610 + ... + 2209.

It is an arithmetic number, because the mean of its divisors is an integer number (152985).

2^2255200 is an apocalyptic number.

2255200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2255200 is an abundant number, since it is smaller than the sum of its proper divisors (3252260).

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

2255200 is a wasteful number, since it uses less digits than its factorization.

2255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2255200 is about 1501.7323330075. The cubic root of 2255200 is about 131.1379391194.

The spelling of 2255200 in words is "two million, two hundred fifty-five thousand, two hundred".