314200110 has 64 divisors (see below), whose sum is σ = 865142784. Its totient is φ = 71539200.

The previous prime is 314200109. The next prime is 314200111. The reversal of 314200110 is 11002413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314200109) and next prime (314200111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314200111) 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 31 ways as a sum of consecutive naturals, for example, 54150 + ... + 59670.

It is an arithmetic number, because the mean of its divisors is an integer number (13517856).

Almost surely, 2^314200110 is an apocalyptic number.

314200110 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 314200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432571392).

314200110 is an abundant number, since it is smaller than the sum of its proper divisors (550942674).

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

314200110 is a wasteful number, since it uses less digits than its factorization.

314200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 314200110 is about 17725.6906776577. The cubic root of 314200110 is about 679.8327948178.

Adding to 314200110 its reverse (11002413), we get a palindrome (325202523).

The spelling of 314200110 in words is "three hundred fourteen million, two hundred thousand, one hundred ten".