2252222344100 has 108 divisors (see below), whose sum is σ = 5194055593020. Its totient is φ = 847514572800.

The previous prime is 2252222344087. The next prime is 2252222344123. The reversal of 2252222344100 is 14432222522.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 996854477476 + 1255367866624 = 998426^2 + 1120432^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69025790 + ... + 69058410.

Almost surely, 2^{2252222344100} is an apocalyptic number.

2252222344100 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 2252222344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597027796510).

2252222344100 is an abundant number, since it is smaller than the sum of its proper divisors (2941833248920).

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

2252222344100 is a wasteful number, since it uses less digits than its factorization.

2252222344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35058 (or 35034 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 2252222344100 its reverse (14432222522), we get a palindrome (2266654566622).

The spelling of 2252222344100 in words is "two trillion, two hundred fifty-two billion, two hundred twenty-two million, three hundred forty-four thousand, one hundred".