22114100 has 72 divisors (see below), whose sum is σ = 51455040. Its totient is φ = 8225280.

The previous prime is 22114069. The next prime is 22114139. The reversal of 22114100 is 141122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195644 + ... + 195756.

Almost surely, 2^22114100 is an apocalyptic number.

22114100 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 22114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25727520).

22114100 is an abundant number, since it is smaller than the sum of its proper divisors (29340940).

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

22114100 is a wasteful number, since it uses less digits than its factorization.

22114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 22114100 is about 4702.5631308894. The cubic root of 22114100 is about 280.6875111856.

Adding to 22114100 its reverse (141122), we get a palindrome (22255222).

The spelling of 22114100 in words is "twenty-two million, one hundred fourteen thousand, one hundred".