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2296309868164 = 2213216723492
BaseRepresentation
bin100001011010100110101…
…110111110011010000100
322010112011210010202110201
4201122212232332122010
5300110320311240124
64514524333500244
7324621461553514
oct41324656763204
98115153122421
102296309868164
11805950068454
12311059641684
13138705a15c00
147d1db89d844
153eaeb724144
hex216a6bbe684

2296309868164 has 81 divisors (see below), whose sum is σ = 4390231167567. Its totient is φ = 1050470411328.

The previous prime is 2296309868161. The next prime is 2296309868191. The reversal of 2296309868164 is 4618689036922.

The square root of 2296309868164 is 1515358.

It is a perfect power (a square), and thus also a powerful number.

2296309868164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49332852100 + 2246977016064 = 222110^2 + 1498992^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2296309868096 and 2296309868105.

It is not an unprimeable number, because it can be changed into a prime (2296309868161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6579684262 + ... + 6579684610.

Almost surely, 22296309868164 is an apocalyptic number.

2296309868164 is the 1515358-th square number.

It is an amenable number.

2296309868164 is a deficient number, since it is larger than the sum of its proper divisors (2093921299403).

2296309868164 is an equidigital number, since it uses as much as digits as its factorization.

2296309868164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

Multiplying 2296309868164 by its sum of digits (64), we get a square (146963831562496 = 121228642).

The spelling of 2296309868164 in words is "two trillion, two hundred ninety-six billion, three hundred nine million, eight hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 13 26 52 167 169 334 338 349 668 676 698 1396 2171 4342 4537 8684 9074 18148 27889 28223 55778 56446 58283 58981 111556 112892 116566 117962 121801 233132 235924 243602 362557 487204 725114 757679 1450228 1515358 1583413 3030716 3166826 4713241 6333652 9426482 9733261 9849827 18852964 19466522 19699654 20340767 20584369 38933044 39399308 40681534 41168738 81363068 82337476 126532393 253064786 264429971 506129572 528859942 1057719884 1644921109 3289842218 3396908089 3437589623 6579684436 6793816178 6875179246 13587632356 13750358492 44159805157 88319610314 176639220628 574077467041 1148154934082 2296309868164