22434413100 has 144 divisors (see below), whose sum is σ = 70880880000. Its totient is φ = 5433292800.

The previous prime is 22434413081. The next prime is 22434413123. The reversal of 22434413100 is 131443422.

It is a super-2 number, since 2×22434413100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4118979 + ... + 4124421.

Almost surely, 2^22434413100 is an apocalyptic number.

22434413100 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 22434413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35440440000).

22434413100 is an abundant number, since it is smaller than the sum of its proper divisors (48446466900).

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

22434413100 is a wasteful number, since it uses less digits than its factorization.

22434413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22434413100 its reverse (131443422), we get a palindrome (22565856522).

It can be divided in two parts, 22434 and 413100, that added together give a palindrome (435534).

The spelling of 22434413100 in words is "twenty-two billion, four hundred thirty-four million, four hundred thirteen thousand, one hundred".