214800000 has 192 divisors, whose sum is σ = 717141600. Its totient is φ = 56960000.

The previous prime is 214799999. The next prime is 214800029. The reversal of 214800000 is 8412.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×214800000² = 92278080000000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199911 + ... + 1200089.

Almost surely, 2^214800000 is an apocalyptic number.

214800000 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 214800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358570800).

214800000 is an abundant number, since it is smaller than the sum of its proper divisors (502341600).

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

214800000 is an frugal number, since it uses more digits than its factorization.

214800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214800000 is about 14656.0567684490. The cubic root of 214800000 is about 598.8868249014.

Adding to 214800000 its reverse (8412), we get a palindrome (214808412).

The spelling of 214800000 in words is "two hundred fourteen million, eight hundred thousand".