214140420 has 72 divisors (see below), whose sum is σ = 699533016. Its totient is φ = 52710912.

The previous prime is 214140397. The next prime is 214140457. The reversal of 214140420 is 24041412.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 209265156 = 2208^2 + 14466^2 .

It is a super-2 number, since 2×214140420² = 91712238955552800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214140393 and 214140402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43417 + ... + 48096.

Almost surely, 2^214140420 is an apocalyptic number.

214140420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214140420 is an abundant number, since it is smaller than the sum of its proper divisors (485392596).

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

214140420 is a wasteful number, since it uses less digits than its factorization.

214140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91541 (or 91536 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214140420 is about 14633.5375080669. The cubic root of 214140420 is about 598.2732017137.

Adding to 214140420 its reverse (24041412), we get a palindrome (238181832).

The spelling of 214140420 in words is "two hundred fourteen million, one hundred forty thousand, four hundred twenty".