20300224140 has 288 divisors, whose sum is σ = 73737990144. Its totient is φ = 4422781440.

The previous prime is 20300224129. The next prime is 20300224181. The reversal of 20300224140 is 4142200302.

20300224140 is a `hidden beast` number, since 2 + 0 + 300 + 224 + 140 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2613142 + ... + 2620898.

It is an arithmetic number, because the mean of its divisors is an integer number (256034688).

Almost surely, 2^20300224140 is an apocalyptic number.

20300224140 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 20300224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36868995072).

20300224140 is an abundant number, since it is smaller than the sum of its proper divisors (53437766004).

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

20300224140 is a wasteful number, since it uses less digits than its factorization.

20300224140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7877 (or 7872 counting only the distinct ones).

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

Adding to 20300224140 its reverse (4142200302), we get a palindrome (24442424442).

The spelling of 20300224140 in words is "twenty billion, three hundred million, two hundred twenty-four thousand, one hundred forty".