214163200 has 108 divisors (see below), whose sum is σ = 536693080. Its totient is φ = 84602880.

The previous prime is 214163167. The next prime is 214163207. The reversal of 214163200 is 2361412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214163207) 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 11 ways as a sum of consecutive naturals, for example, 697447 + ... + 697753.

Almost surely, 2^214163200 is an apocalyptic number.

214163200 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 214163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268346540).

214163200 is an abundant number, since it is smaller than the sum of its proper divisors (322529880).

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

214163200 is a wasteful number, since it uses less digits than its factorization.

214163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 214163200 is about 14634.3158364168. The cubic root of 214163200 is about 598.2944154891.

It can be divided in two parts, 2141 and 63200, that added together give a triangular number (65341 = T₃₆₁).

The spelling of 214163200 in words is "two hundred fourteen million, one hundred sixty-three thousand, two hundred".