22214041314100 has 36 divisors (see below), whose sum is σ = 48205343371500. Its totient is φ = 8885455471360.

The previous prime is 22214041314077. The next prime is 22214041314193. The reversal of 22214041314100 is 141314041222.

It can be written as a sum of positive squares in 6 ways, for example, as 7885908610596 + 14328132703504 = 2808186^2 + 3785252^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3609696 + ... + 7580104.

It is an arithmetic number, because the mean of its divisors is an integer number (1339037315875).

Almost surely, 2^{22214041314100} is an apocalyptic number.

22214041314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22214041314100 is an abundant number, since it is smaller than the sum of its proper divisors (25991302057400).

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

22214041314100 is a wasteful number, since it uses less digits than its factorization.

22214041314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026372 (or 4026365 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 22214041314100 its reverse (141314041222), we get a palindrome (22355355355322).

The spelling of 22214041314100 in words is "twenty-two trillion, two hundred fourteen billion, forty-one million, three hundred fourteen thousand, one hundred".