30814200 has 288 divisors, whose sum is σ = 117514800. Its totient is φ = 7188480.

The previous prime is 30814193. The next prime is 30814207. The reversal of 30814200 is 241803.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30814193) and next prime (30814207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30814207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581374 + ... + 581426.

Almost surely, 2^30814200 is an apocalyptic number.

30814200 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 30814200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58757400).

30814200 is an abundant number, since it is smaller than the sum of its proper divisors (86700600).

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

30814200 is a wasteful number, since it uses less digits than its factorization.

30814200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 30814200 is about 5551.0539539803. The cubic root of 30814200 is about 313.5092066312.

The spelling of 30814200 in words is "thirty million, eight hundred fourteen thousand, two hundred".