214351120 has 20 divisors (see below), whose sum is σ = 498366540. Its totient is φ = 85740416.

The previous prime is 214351091. The next prime is 214351127. The reversal of 214351120 is 21153412.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 167236624 = 6864^2 + 12932^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (214351127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1339615 + ... + 1339774.

It is an arithmetic number, because the mean of its divisors is an integer number (24918327).

Almost surely, 2^214351120 is an apocalyptic number.

214351120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214351120 is an abundant number, since it is smaller than the sum of its proper divisors (284015420).

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

214351120 is a wasteful number, since it uses less digits than its factorization.

214351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679402 (or 2679396 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 214351120 is about 14640.7349542296. The cubic root of 214351120 is about 598.4693578038.

The spelling of 214351120 in words is "two hundred fourteen million, three hundred fifty-one thousand, one hundred twenty".