30082200 has 96 divisors (see below), whose sum is σ = 94108560. Its totient is φ = 7948800.

The previous prime is 30082189. The next prime is 30082201. The reversal of 30082200 is 228003.

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 30082200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30082201) 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, 108462 + ... + 108738.

Almost surely, 2^30082200 is an apocalyptic number.

30082200 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 30082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47054280).

30082200 is an abundant number, since it is smaller than the sum of its proper divisors (64026360).

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

30082200 is a wasteful number, since it uses less digits than its factorization.

30082200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30082200 is about 5484.7242410170. The cubic root of 30082200 is about 311.0067856930.

The spelling of 30082200 in words is "thirty million, eighty-two thousand, two hundred".