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314224416 = 253211271127
BaseRepresentation
bin10010101110101…
…010111100100000
3210220021020212100
4102232222330200
51120420140131
651102530400
710533602112
oct2256527440
9726236770
10314224416
1115140a500
1289296a00
135013b40c
142da373b2
151c8bd7e6
hex12baaf20

314224416 has 216 divisors, whose sum is σ = 1003871232. Its totient is φ = 93139200.

The previous prime is 314224403. The next prime is 314224457. The reversal of 314224416 is 614422413.

It is a happy number.

It is a super-2 number, since 2×3142244162 = 197473967221082112, 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 314224416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2474145 + ... + 2474271.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2314224416 is an apocalyptic number.

314224416 is a gapful number since it is divisible by the number (36) 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 314224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501935616).

314224416 is an abundant number, since it is smaller than the sum of its proper divisors (689646816).

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

314224416 is a wasteful number, since it uses less digits than its factorization.

314224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 314224416 is about 17726.3762794317. The cubic root of 314224416 is about 679.8503246120.

Adding to 314224416 its reverse (614422413), we get a palindrome (928646829).

The spelling of 314224416 in words is "three hundred fourteen million, two hundred twenty-four thousand, four hundred sixteen".