314222000 has 80 divisors (see below), whose sum is σ = 799874400. Its totient is φ = 119059200.

The previous prime is 314221969. The next prime is 314222011. The reversal of 314222000 is 222413.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33866 + ... + 42134.

It is an arithmetic number, because the mean of its divisors is an integer number (9998430).

Almost surely, 2^314222000 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 314222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399937200).

314222000 is an abundant number, since it is smaller than the sum of its proper divisors (485652400).

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

314222000 is a wasteful number, since it uses less digits than its factorization.

314222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8311 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 314222000 is about 17726.3081322649. The cubic root of 314222000 is about 679.8485822028.

Adding to 314222000 its reverse (222413), we get a palindrome (314444413).

The spelling of 314222000 in words is "three hundred fourteen million, two hundred twenty-two thousand".