2253351100 has 144 divisors (see below), whose sum is σ = 6565579776. Its totient is φ = 648288000.

The previous prime is 2253351077. The next prime is 2253351137. The reversal of 2253351100 is 11533522.

2253351100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88845 + ... + 111355.

It is an arithmetic number, because the mean of its divisors is an integer number (45594304).

Almost surely, 2^2253351100 is an apocalyptic number.

2253351100 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 2253351100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282789888).

2253351100 is an abundant number, since it is smaller than the sum of its proper divisors (4312228676).

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

2253351100 is a wasteful number, since it uses less digits than its factorization.

2253351100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22556 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2253351100 is about 47469.4754552860. The cubic root of 2253351100 is about 1311.0209200676.

Adding to 2253351100 its reverse (11533522), we get a palindrome (2264884622).

It can be divided in two parts, 2253 and 351100, that added together give a palindrome (353353).

The spelling of 2253351100 in words is "two billion, two hundred fifty-three million, three hundred fifty-one thousand, one hundred".