20224350432 has 576 divisors, whose sum is σ = 72973716480. Its totient is φ = 5402833920.

The previous prime is 20224350427. The next prime is 20224350449. The reversal of 20224350432 is 23405342202.

It is a happy number.

20224350432 is a `hidden beast` number, since 2 + 0 + 224 + 3 + 5 + 0 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20224350396 and 20224350405.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 31258333 + ... + 31258979.

It is an arithmetic number, because the mean of its divisors is an integer number (126690480).

Almost surely, 2^20224350432 is an apocalyptic number.

20224350432 is a gapful number since it is divisible by the number (22) 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 20224350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36486858240).

20224350432 is an abundant number, since it is smaller than the sum of its proper divisors (52749366048).

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

20224350432 is a wasteful number, since it uses less digits than its factorization.

20224350432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 20224350432 its reverse (23405342202), we get a palindrome (43629692634).

The spelling of 20224350432 in words is "twenty billion, two hundred twenty-four million, three hundred fifty thousand, four hundred thirty-two".