30320200 has 96 divisors (see below), whose sum is σ = 75888000. Its totient is φ = 11232000.

The previous prime is 30320183. The next prime is 30320207. The reversal of 30320200 is 202303.

30320200 = 153² + 154² + ... + 455².

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320207) 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, 300150 + ... + 300250.

It is an arithmetic number, because the mean of its divisors is an integer number (790500).

Almost surely, 2^30320200 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 30320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944000).

30320200 is an abundant number, since it is smaller than the sum of its proper divisors (45567800).

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

30320200 is a wasteful number, since it uses less digits than its factorization.

30320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 30320200 is about 5506.3781199623. The cubic root of 30320200 is about 311.8248249610.

Adding to 30320200 its reverse (202303), we get a palindrome (30522503).

It can be divided in two parts, 303 and 20200, that added together give a triangular number (20503 = T₂₀₂).

The spelling of 30320200 in words is "thirty million, three hundred twenty thousand, two hundred".