30224022400 has 288 divisors, whose sum is σ = 88058348280. Its totient is φ = 10105651200.

The previous prime is 30224022391. The next prime is 30224022403. The reversal of 30224022400 is 422042203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30224022403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117603072 + ... + 117603328.

Almost surely, 2^30224022400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30224022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029174140).

30224022400 is an abundant number, since it is smaller than the sum of its proper divisors (57834325880).

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

30224022400 is a wasteful number, since it uses less digits than its factorization.

30224022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 30224022400 its reverse (422042203), we get a palindrome (30646064603).

The spelling of 30224022400 in words is "thirty billion, two hundred twenty-four million, twenty-two thousand, four hundred".