214306120 has 32 divisors (see below), whose sum is σ = 551073600. Its totient is φ = 73476288.

The previous prime is 214306093. The next prime is 214306121. The reversal of 214306120 is 21603412.

It is a super-2 number, since 2×214306120² = 91854226138908800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214306121) 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 7 ways as a sum of consecutive naturals, for example, 382410 + ... + 382969.

It is an arithmetic number, because the mean of its divisors is an integer number (17221050).

Almost surely, 2^214306120 is an apocalyptic number.

214306120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214306120 is an abundant number, since it is smaller than the sum of its proper divisors (336767480).

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

214306120 is a wasteful number, since it uses less digits than its factorization.

214306120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765397 (or 765393 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 214306120 is about 14639.1980654679. The cubic root of 214306120 is about 598.4274748006.

Adding to 214306120 its reverse (21603412), we get a palindrome (235909532).

The spelling of 214306120 in words is "two hundred fourteen million, three hundred six thousand, one hundred twenty".