314142210 has 96 divisors (see below), whose sum is σ = 868037040. Its totient is φ = 78672384.

The previous prime is 314142209. The next prime is 314142221. The reversal of 314142210 is 12241413.

314142210 is a `hidden beast` number, since 31 + 414 + 221 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 293539689 + 20602521 = 17133^2 + 4539^2 .

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

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 94944 + ... + 98196.

Almost surely, 2^314142210 is an apocalyptic number.

314142210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314142210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434018520).

314142210 is an abundant number, since it is smaller than the sum of its proper divisors (553894830).

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

314142210 is a wasteful number, since it uses less digits than its factorization.

314142210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 314142210 is about 17724.0573797311. The cubic root of 314142210 is about 679.7910329642.

Adding to 314142210 its reverse (12241413), we get a palindrome (326383623).

The spelling of 314142210 in words is "three hundred fourteen million, one hundred forty-two thousand, two hundred ten".