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314051922 = 23241772
BaseRepresentation
bin10010101110000…
…000110101010010
3210212221111020200
4102232000311102
51120344130142
651055120030
710532253162
oct2256006522
9725844220
10314051922
11151301948
1289213016
13500aaa52
142d9d05a2
151c88764c
hex12b80d52

314051922 has 18 divisors (see below), whose sum is σ = 680608773. Its totient is φ = 104658912.

The previous prime is 314051921. The next prime is 314051929. The reversal of 314051922 is 229150413.

314051922 is a `hidden beast` number, since 3 + 140 + 519 + 2 + 2 = 666.

314051922 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 2 ways, for example, as 240281001 + 73770921 = 15501^2 + 8589^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=12531.

It is a super-3 number, since 3×3140519223 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (314051921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73098 + ... + 77274.

Almost surely, 2314051922 is an apocalyptic number.

314051922 is an abundant number, since it is smaller than the sum of its proper divisors (366556851).

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

314051922 is an frugal number, since it uses more digits than its factorization.

314051922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 314051922 is about 17721.5101500973. The cubic root of 314051922 is about 679.7259001975.

The spelling of 314051922 in words is "three hundred fourteen million, fifty-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 4177 8354 12531 25062 37593 75186 17447329 34894658 52341987 104683974 157025961 314051922