30442200 has 96 divisors (see below), whose sum is σ = 95418000. Its totient is φ = 8028160.

The previous prime is 30442177. The next prime is 30442201. The reversal of 30442200 is 224403.

It is a happy number.

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 30442200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442201) 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, 67576 + ... + 68024.

Almost surely, 2^30442200 is an apocalyptic number.

30442200 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 30442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47709000).

30442200 is an abundant number, since it is smaller than the sum of its proper divisors (64975800).

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

30442200 is a wasteful number, since it uses less digits than its factorization.

30442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 572 counting only the distinct ones).

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

The square root of 30442200 is about 5517.4450608955. The cubic root of 30442200 is about 312.2424972070.

Adding to 30442200 its reverse (224403), we get a palindrome (30666603).

The spelling of 30442200 in words is "thirty million, four hundred forty-two thousand, two hundred".