30022400 has 54 divisors (see below), whose sum is σ = 74325972. Its totient is φ = 12006400.

The previous prime is 30022393. The next prime is 30022403. The reversal of 30022400 is 422003.

It is not an unprimeable number, because it can be changed into a prime (30022403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4055 + ... + 8745.

Almost surely, 2^30022400 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 30022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37162986).

30022400 is an abundant number, since it is smaller than the sum of its proper divisors (44303572).

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

30022400 is an equidigital number, since it uses as much as digits as its factorization.

30022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717 (or 4698 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 30022400 is about 5479.2700243737. The cubic root of 30022400 is about 310.8005669200.

Adding to 30022400 its reverse (422003), we get a palindrome (30444403).

The spelling of 30022400 in words is "thirty million, twenty-two thousand, four hundred".