22514420000 has 90 divisors (see below), whose sum is σ = 55441103949. Its totient is φ = 8997280000.

The previous prime is 22514419957. The next prime is 22514420023. The reversal of 22514420000 is 2441522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 336062224 + 22178357776 = 18332^2 + 148924^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=106100.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 21219470 + ... + 21220530.

Almost surely, 2^22514420000 is an apocalyptic number.

22514420000 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 22514420000

22514420000 is an abundant number, since it is smaller than the sum of its proper divisors (32926683949).

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

22514420000 is an frugal number, since it uses more digits than its factorization.

22514420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 22514420000 its reverse (2441522), we get a palindrome (22516861522).

The spelling of 22514420000 in words is "twenty-two billion, five hundred fourteen million, four hundred twenty thousand".