314224120 has 64 divisors (see below), whose sum is σ = 819126720. Its totient is φ = 106251264.

The previous prime is 314224111. The next prime is 314224129. The reversal of 314224120 is 21422413.

It is an interprime number because it is at equal distance from previous prime (314224111) and next prime (314224129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314224129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12754 + ... + 28126.

It is an arithmetic number, because the mean of its divisors is an integer number (12798855).

Almost surely, 2^314224120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409563360).

314224120 is an abundant number, since it is smaller than the sum of its proper divisors (504902600).

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

314224120 is a wasteful number, since it uses less digits than its factorization.

314224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 314224120 is about 17726.3679302896. The cubic root of 314224120 is about 679.8501111385.

Adding to 314224120 its reverse (21422413), we get a palindrome (335646533).

The spelling of 314224120 in words is "three hundred fourteen million, two hundred twenty-four thousand, one hundred twenty".