214200000 has 504 divisors, whose sum is σ = 928628064. Its totient is φ = 46080000.

The previous prime is 214199969. The next prime is 214200001. The reversal of 214200000 is 2412.

214200000 = 135³ + 136³ + ... + 185³.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (214200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12599992 + ... + 12600008.

It is an arithmetic number, because the mean of its divisors is an integer number (1842516).

Almost surely, 2^214200000 is an apocalyptic number.

214200000 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 214200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464314032).

214200000 is an abundant number, since it is smaller than the sum of its proper divisors (714428064).

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

214200000 is an equidigital number, since it uses as much as digits as its factorization.

214200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 214200000 is about 14635.5731011806. The cubic root of 214200000 is about 598.3286821504.

Adding to 214200000 its reverse (2412), we get a palindrome (214202412).

The spelling of 214200000 in words is "two hundred fourteen million, two hundred thousand".