2255136 has 72 divisors (see below), whose sum is σ = 6456240. Its totient is φ = 688896.

The previous prime is 2255131. The next prime is 2255147. The reversal of 2255136 is 6315522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹⁴ + 2¹⁸ + 5⁶ + 5⁹ + 1 + 3⁸ + 6⁴ .

It is not an unprimeable number, because it can be changed into a prime (2255131) by changing a digit.

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, 16155 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (89670).

2^2255136 is an apocalyptic number.

2255136 is a gapful number since it is divisible by the number (26) 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 2255136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228120).

2255136 is an abundant number, since it is smaller than the sum of its proper divisors (4201104).

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

2255136 is a wasteful number, since it uses less digits than its factorization.

2255136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 157 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 2255136 is about 1501.7110241321. The cubic root of 2255136 is about 131.1366985927.

The spelling of 2255136 in words is "two million, two hundred fifty-five thousand, one hundred thirty-six".