22034414500 has 96 divisors (see below), whose sum is σ = 55041831936. Its totient is φ = 7548624000.

The previous prime is 22034414477. The next prime is 22034414503. The reversal of 22034414500 is 541443022.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (22034414503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8248165 + ... + 8250835.

It is an arithmetic number, because the mean of its divisors is an integer number (573352416).

Almost surely, 2^22034414500 is an apocalyptic number.

22034414500 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 22034414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520915968).

22034414500 is an abundant number, since it is smaller than the sum of its proper divisors (33007417436).

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

22034414500 is a wasteful number, since it uses less digits than its factorization.

22034414500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 22034414500 its reverse (541443022), we get a palindrome (22575857522).

The spelling of 22034414500 in words is "twenty-two billion, thirty-four million, four hundred fourteen thousand, five hundred".