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314222112 = 2533363683
BaseRepresentation
bin10010101110101…
…010011000100000
3210220021010201000
4102232222120200
51120420101422
651102512000
710533562311
oct2256523040
9726233630
10314222112
111514087a6
1289295600
135013a359
142da36608
151c8bccac
hex12baa620

314222112 has 48 divisors (see below), whose sum is σ = 916483680. Its totient is φ = 104740416.

The previous prime is 314222099. The next prime is 314222177. The reversal of 314222112 is 211222413.

It is a happy number.

314222112 is a `hidden beast` number, since 31 + 422 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180978 + ... + 182705.

It is an arithmetic number, because the mean of its divisors is an integer number (19093410).

Almost surely, 2314222112 is an apocalyptic number.

314222112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314222112 is an abundant number, since it is smaller than the sum of its proper divisors (602261568).

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

314222112 is a wasteful number, since it uses less digits than its factorization.

314222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363702 (or 363688 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 314222112 is about 17726.3112914109. The cubic root of 314222112 is about 679.8486629769.

Adding to 314222112 its reverse (211222413), we get a palindrome (525444525).

The spelling of 314222112 in words is "three hundred fourteen million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 363683 727366 1091049 1454732 2182098 2909464 3273147 4364196 5818928 6546294 8728392 9819441 11637856 13092588 17456784 19638882 26185176 34913568 39277764 52370352 78555528 104740704 157111056 314222112