214186820 has 12 divisors (see below), whose sum is σ = 449792364. Its totient is φ = 85674720.

The previous prime is 214186813. The next prime is 214186823. The reversal of 214186820 is 28681412.

It is a happy number.

214186820 is digitally balanced in base 3, 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 2 ways, for example, as 30096196 + 184090624 = 5486^2 + 13568^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (214186823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5354651 + ... + 5354690.

It is an arithmetic number, because the mean of its divisors is an integer number (37482697).

Almost surely, 2^214186820 is an apocalyptic number.

214186820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214186820 is an abundant number, since it is smaller than the sum of its proper divisors (235605544).

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

214186820 is a wasteful number, since it uses less digits than its factorization.

214186820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709350 (or 10709348 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 214186820 is about 14635.1228214867. The cubic root of 214186820 is about 598.3164099223.

The spelling of 214186820 in words is "two hundred fourteen million, one hundred eighty-six thousand, eight hundred twenty".