314226220 has 144 divisors (see below), whose sum is σ = 848510208. Its totient is φ = 96647040.

The previous prime is 314226217. The next prime is 314226221. The reversal of 314226220 is 22622413.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 314226191 and 314226200.

It is not an unprimeable number, because it can be changed into a prime (314226221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110199 + ... + 1110481.

It is an arithmetic number, because the mean of its divisors is an integer number (5892432).

Almost surely, 2^314226220 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 314226220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424255104).

314226220 is an abundant number, since it is smaller than the sum of its proper divisors (534283988).

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

314226220 is a wasteful number, since it uses less digits than its factorization.

314226220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 314226220 is about 17726.4271639832. The cubic root of 314226220 is about 679.8516256436.

Adding to 314226220 its reverse (22622413), we get a palindrome (336848633).

The spelling of 314226220 in words is "three hundred fourteen million, two hundred twenty-six thousand, two hundred twenty".