30224400 has 120 divisors (see below), whose sum is σ = 98252640. Its totient is φ = 7941120.

The previous prime is 30224371. The next prime is 30224407. The reversal of 30224400 is 442203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30224400.

It is not an unprimeable number, because it can be changed into a prime (30224407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106659 + ... + 106941.

It is an arithmetic number, because the mean of its divisors is an integer number (818772).

Almost surely, 2^30224400 is an apocalyptic number.

30224400 is a gapful number since it is divisible by the number (30) 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 30224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49126320).

30224400 is an abundant number, since it is smaller than the sum of its proper divisors (68028240).

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

30224400 is a wasteful number, since it uses less digits than its factorization.

30224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 30224400 is about 5497.6722346826. The cubic root of 30224400 is about 311.4960635442.

Adding to 30224400 its reverse (442203), we get a palindrome (30666603).

The spelling of 30224400 in words is "thirty million, two hundred twenty-four thousand, four hundred".