214033200 has 60 divisors (see below), whose sum is σ = 685623528. Its totient is φ = 57075200.

The previous prime is 214033189. The next prime is 214033217. The reversal of 214033200 is 2330412.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 214033200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87981 + ... + 90380.

Almost surely, 2^214033200 is an apocalyptic number.

214033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214033200 is an abundant number, since it is smaller than the sum of its proper divisors (471590328).

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

214033200 is a wasteful number, since it uses less digits than its factorization.

214033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178382 (or 178371 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 214033200 is about 14629.8735469586. The cubic root of 214033200 is about 598.1733333474.

Adding to 214033200 its reverse (2330412), we get a palindrome (216363612).

The spelling of 214033200 in words is "two hundred fourteen million, thirty-three thousand, two hundred".