214036200 has 144 divisors (see below), whose sum is σ = 821539680. Its totient is φ = 48919680.

The previous prime is 214036169. The next prime is 214036213. The reversal of 214036200 is 2630412.

It is a happy number.

214036200 is a `hidden beast` number, since 2 + 1 + 40 + 3 + 620 + 0 = 666.

214036200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214036200² = 91622989820880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4107 + ... + 21093.

Almost surely, 2^214036200 is an apocalyptic number.

214036200 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 214036200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410769840).

214036200 is an abundant number, since it is smaller than the sum of its proper divisors (607503480).

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

214036200 is a wasteful number, since it uses less digits than its factorization.

214036200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17016 (or 17004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 214036200 is about 14629.9760765355. The cubic root of 214036200 is about 598.1761281032.

Adding to 214036200 its reverse (2630412), we get a palindrome (216666612).

The spelling of 214036200 in words is "two hundred fourteen million, thirty-six thousand, two hundred".