214224100 has 18 divisors (see below), whose sum is σ = 464866514. Its totient is φ = 85689600.

The previous prime is 214224091. The next prime is 214224113. The reversal of 214224100 is 1422412.

It can be written as a sum of positive squares in 3 ways, for example, as 2696164 + 211527936 = 1642^2 + 14544^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1071021 + ... + 1071220.

Almost surely, 2^214224100 is an apocalyptic number.

214224100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214224100 is an abundant number, since it is smaller than the sum of its proper divisors (250642414).

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

214224100 is a wasteful number, since it uses less digits than its factorization.

214224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142255 (or 2142248 counting only the distinct ones).

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

The square root of 214224100 is about 14636.3964144184. The cubic root of 214224100 is about 598.3511209622.

Adding to 214224100 its reverse (1422412), we get a palindrome (215646512).

The spelling of 214224100 in words is "two hundred fourteen million, two hundred twenty-four thousand, one hundred".