30194800 has 120 divisors (see below), whose sum is σ = 79570800. Its totient is φ = 10967040.

The previous prime is 30194783. The next prime is 30194807. The reversal of 30194800 is 849103.

30194800 = T₁₇₁ + T₁₇₂ + ... + T₅₇₀.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30194807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220332 + ... + 220468.

It is an arithmetic number, because the mean of its divisors is an integer number (663090).

Almost surely, 2^30194800 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 30194800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39785400).

30194800 is an abundant number, since it is smaller than the sum of its proper divisors (49376000).

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

30194800 is a wasteful number, since it uses less digits than its factorization.

30194800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 30194800 is about 5494.9795268044. The cubic root of 30194800 is about 311.3943433551.

The spelling of 30194800 in words is "thirty million, one hundred ninety-four thousand, eight hundred".