22000103424 has 312 divisors, whose sum is σ = 70841010240. Its totient is φ = 6531710976.

The previous prime is 22000103417. The next prime is 22000103491. The reversal of 22000103424 is 42430100022.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22000103397 and 22000103406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13896937 + ... + 13898519.

It is an arithmetic number, because the mean of its divisors is an integer number (227054520).

Almost surely, 2^22000103424 is an apocalyptic number.

22000103424 is a gapful number since it is divisible by the number (24) 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 22000103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35420505120).

22000103424 is an abundant number, since it is smaller than the sum of its proper divisors (48840906816).

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

22000103424 is a wasteful number, since it uses less digits than its factorization.

22000103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22000103424 its reverse (42430100022), we get a palindrome (64430203446).

The spelling of 22000103424 in words is "twenty-two billion, one hundred three thousand, four hundred twenty-four".