214230104200 has 192 divisors, whose sum is σ = 575940816000. Its totient is φ = 72589271040.

The previous prime is 214230104191. The next prime is 214230104227. The reversal of 214230104200 is 2401032412.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67600216 + ... + 67603384.

It is an arithmetic number, because the mean of its divisors is an integer number (2999691750).

Almost surely, 2^214230104200 is an apocalyptic number.

214230104200 is a gapful number since it is divisible by the number (20) 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 214230104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287970408000).

214230104200 is an abundant number, since it is smaller than the sum of its proper divisors (361710711800).

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

214230104200 is a wasteful number, since it uses less digits than its factorization.

214230104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3744 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 214230104200 its reverse (2401032412), we get a palindrome (216631136612).

The spelling of 214230104200 in words is "two hundred fourteen billion, two hundred thirty million, one hundred four thousand, two hundred".