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314822214 = 23472271223
BaseRepresentation
bin10010110000111…
…100111001000110
3210221101121220000
4102300330321012
51121043302324
651123422130
710541642010
oct2260747106
9727347800
10314822214
11151788653
1289524946
13502ba545
142db511b0
151c98a9c9
hex12c3ce46

314822214 has 80 divisors (see below), whose sum is σ = 810425088. Its totient is φ = 89479728.

The previous prime is 314822203. The next prime is 314822219. The reversal of 314822214 is 412228413.

314822214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3148222142 = 198226052855723592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314822219) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 256807 + ... + 258029.

Almost surely, 2314822214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314822214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405212544).

314822214 is an abundant number, since it is smaller than the sum of its proper divisors (495602874).

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

314822214 is a wasteful number, since it uses less digits than its factorization.

314822214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 314822214 is about 17743.2300892481. The cubic root of 314822214 is about 680.2811798523.

The spelling of 314822214 in words is "three hundred fourteen million, eight hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 227 378 454 567 681 1134 1223 1362 1589 2043 2446 3178 3669 4086 4767 6129 7338 8561 9534 11007 12258 14301 17122 18387 22014 25683 28602 33021 36774 42903 51366 66042 77049 85806 99063 128709 154098 198126 231147 257418 277621 462294 555242 693441 832863 1386882 1665726 1943347 2498589 3886694 4997178 5830041 7495767 11660082 14991534 17490123 22487301 34980246 44974602 52470369 104940738 157411107 314822214