214706224200 has 192 divisors, whose sum is σ = 723888043200. Its totient is φ = 52327296000.

The previous prime is 214706224199. The next prime is 214706224207. The reversal of 214706224200 is 2422607412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214706224207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651531 + ... + 924069.

It is an arithmetic number, because the mean of its divisors is an integer number (3770250225).

Almost surely, 2^214706224200 is an apocalyptic number.

214706224200 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 214706224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361944021600).

214706224200 is an abundant number, since it is smaller than the sum of its proper divisors (509181819000).

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

214706224200 is a wasteful number, since it uses less digits than its factorization.

214706224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272672 (or 272663 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 214706224200 in words is "two hundred fourteen billion, seven hundred six million, two hundred twenty-four thousand, two hundred".