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83223253805208 = 233112997011051847
BaseRepresentation
bin10010111011000011101100…
…011110101110100010011000
3101220200001202122112200110020
4102323003230132232202120
541402012210433231313
6453000122431550440
723346452545322046
oct2273035436564230
9356601678480406
1083223253805208
1124576869169050
12940128338b420
133758bc4515b2a
14167a054047396
15994c63d48323
hex4bb0ec7ae898

83223253805208 has 64 divisors (see below), whose sum is σ = 226973483493120. Its totient is φ = 25219059696000.

The previous prime is 83223253805207. The next prime is 83223253805239. The reversal of 83223253805208 is 80250835232238.

It is a super-2 number, since 2×832232538052082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83223253805207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78595141 + ... + 79646987.

It is an arithmetic number, because the mean of its divisors is an integer number (3546460679580).

Almost surely, 283223253805208 is an apocalyptic number.

83223253805208 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

83223253805208 is an abundant number, since it is smaller than the sum of its proper divisors (143750229687912).

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

83223253805208 is a wasteful number, since it uses less digits than its factorization.

83223253805208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351568 (or 1351564 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 83223253805208 in words is "eighty-three trillion, two hundred twenty-three billion, two hundred fifty-three million, eight hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 299701 599402 899103 1051847 1198804 1798206 2103694 2397608 3155541 3296711 3596412 4207388 6311082 6593422 7192824 8414776 9890133 11570317 12622164 13186844 19780266 23140634 25244328 26373688 34710951 39560532 46281268 69421902 79121064 92562536 138843804 277687608 315239597747 630479195494 945718793241 1260958390988 1891437586482 2521916781976 3467635575217 3782875172964 6935271150434 7565750345928 10402906725651 13870542300868 20805813451302 27741084601736 41611626902604 83223253805208