214261200 has 300 divisors, whose sum is σ = 816292620. Its totient is φ = 53637120.

The previous prime is 214261199. The next prime is 214261237. The reversal of 214261200 is 2162412.

214261200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3779136 + 210482064 = 1944^2 + 14508^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550606 + ... + 550994.

Almost surely, 2^214261200 is an apocalyptic number.

214261200 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 214261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408146310).

214261200 is an abundant number, since it is smaller than the sum of its proper divisors (602031420).

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

214261200 is a wasteful number, since it uses less digits than its factorization.

214261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

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

The square root of 214261200 is about 14637.6637480166. The cubic root of 214261200 is about 598.3856604083.

The spelling of 214261200 in words is "two hundred fourteen million, two hundred sixty-one thousand, two hundred".