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314313222224 = 2417372844093
BaseRepresentation
bin1001001001011101000…
…01110010100001010000
31010001022000210001102202
410210232201302201100
520122203141102344
6400220555102332
731464655210241
oct4445641624120
91101260701382
10314313222224
1111133268aa81
1250abaa419a8
13238412b7981
14112da070cc8
15829906394e
hex492e872850

314313222224 has 60 divisors (see below), whose sum is σ = 662703263964. Its totient is φ = 143914309632.

The previous prime is 314313222221. The next prime is 314313222227. The reversal of 314313222224 is 422222313413.

It is an interprime number because it is at equal distance from previous prime (314313222221) and next prime (314313222227).

It can be written as a sum of positive squares in 6 ways, for example, as 209518583824 + 104794638400 = 457732^2 + 323720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314313222221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49679 + ... + 794414.

Almost surely, 2314313222224 is an apocalyptic number.

314313222224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314313222224 is an abundant number, since it is smaller than the sum of its proper divisors (348390041740).

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

314313222224 is a wasteful number, since it uses less digits than its factorization.

314313222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844192 (or 844149 counting only the distinct ones).

The product of its digits is 13824, while the sum is 29.

Adding to 314313222224 its reverse (422222313413), we get a palindrome (736535535637).

The spelling of 314313222224 in words is "three hundred fourteen billion, three hundred thirteen million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 1258 1369 2516 2738 5032 5476 10064 10952 21904 23273 46546 93092 186184 372368 844093 1688186 3376372 6752744 13505488 14349581 28699162 31231441 57398324 62462882 114796648 124925764 229593296 249851528 499703056 530934497 1061868994 1155563317 2123737988 2311126634 4247475976 4622253268 8494951952 9244506536 18489013072 19644576389 39289152778 78578305556 157156611112 314313222224