2253823208 has 96 divisors (see below), whose sum is σ = 5327368200. Its totient is φ = 891281664.

The previous prime is 2253823151. The next prime is 2253823277. The reversal of 2253823208 is 8023283522.

It can be written as a sum of positive squares in 4 ways, for example, as 544662244 + 1709160964 = 23338^2 + 41342^2 .

It is a super-2 number, since 2×2253823208² = 10159438105838822528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859916 + ... + 862532.

Almost surely, 2^2253823208 is an apocalyptic number.

2253823208 is a gapful number since it is divisible by the number (28) 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 2253823208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663684100).

2253823208 is an abundant number, since it is smaller than the sum of its proper divisors (3073544992).

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

2253823208 is a wasteful number, since it uses less digits than its factorization.

2253823208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2253823208 is about 47474.4479483437. The cubic root of 2253823208 is about 1311.1124726363.

The spelling of 2253823208 in words is "two billion, two hundred fifty-three million, eight hundred twenty-three thousand, two hundred eight".