214221400 has 48 divisors (see below), whose sum is σ = 499064040. Its totient is φ = 85516800.

The previous prime is 214221391. The next prime is 214221401. The reversal of 214221400 is 4122412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214221401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156720 + ... + 158080.

Almost surely, 2^214221400 is an apocalyptic number.

214221400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214221400 is an abundant number, since it is smaller than the sum of its proper divisors (284842640).

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

214221400 is a wasteful number, since it uses less digits than its factorization.

214221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214221400 is about 14636.3041783095. The cubic root of 214221400 is about 598.3486071542.

Adding to 214221400 its reverse (4122412), we get a palindrome (218343812).

It can be divided in two parts, 21422 and 1400, that added together give a palindrome (22822).

The spelling of 214221400 in words is "two hundred fourteen million, two hundred twenty-one thousand, four hundred".