214024100 has 36 divisors (see below), whose sum is σ = 475769028. Its totient is φ = 83520000.

The previous prime is 214024091. The next prime is 214024103. The reversal of 214024100 is 1420412.

It can be written as a sum of positive squares in 6 ways, for example, as 11075584 + 202948516 = 3328^2 + 14246^2 .

It is not an unprimeable number, because it can be changed into a prime (214024103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22001 + ... + 30200.

Almost surely, 2^214024100 is an apocalyptic number.

214024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214024100 is an abundant number, since it is smaller than the sum of its proper divisors (261744928).

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

214024100 is a wasteful number, since it uses less digits than its factorization.

214024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52256 (or 52249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 214024100 is about 14629.5625361800. The cubic root of 214024100 is about 598.1648557615.

Adding to 214024100 its reverse (1420412), we get a palindrome (215444512).

The spelling of 214024100 in words is "two hundred fourteen million, twenty-four thousand, one hundred".