314212224 has 128 divisors (see below), whose sum is σ = 893030400. Its totient is φ = 97542144.

The previous prime is 314212193. The next prime is 314212231. The reversal of 314212224 is 422212413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×314212224² = 197458643422052352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 314212224.

It is a congruent number.

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, 828867 + ... + 829245.

It is an arithmetic number, because the mean of its divisors is an integer number (6976800).

Almost surely, 2^314212224 is an apocalyptic number.

314212224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446515200).

314212224 is an abundant number, since it is smaller than the sum of its proper divisors (578818176).

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

314212224 is a wasteful number, since it uses less digits than its factorization.

314212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 314212224 is about 17726.0323817825. The cubic root of 314212224 is about 679.8415317006.

Adding to 314212224 its reverse (422212413), we get a palindrome (736424637).

The spelling of 314212224 in words is "three hundred fourteen million, two hundred twelve thousand, two hundred twenty-four".