314224020 has 72 divisors (see below), whose sum is σ = 1039802400. Its totient is φ = 76175040.

The previous prime is 314224013. The next prime is 314224021. The reversal of 314224020 is 20422413.

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

It is a junction number, because it is equal to n+sod(n) for n = 314223984 and 314224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314224021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77370 + ... + 81329.

It is an arithmetic number, because the mean of its divisors is an integer number (14441700).

Almost surely, 2^314224020 is an apocalyptic number.

314224020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314224020 is an abundant number, since it is smaller than the sum of its proper divisors (725578380).

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

314224020 is a wasteful number, since it uses less digits than its factorization.

314224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158725 (or 158720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 314224020 is about 17726.3651096326. The cubic root of 314224020 is about 679.8500390191.

Adding to 314224020 its reverse (20422413), we get a palindrome (334646433).

The spelling of 314224020 in words is "three hundred fourteen million, two hundred twenty-four thousand, twenty".