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282223300116534 = 237311901341333409
BaseRepresentation
bin100000000101011100011101…
…1100011010000000000110110
31101000021021200000220011201220
41000022320323203100000312
5243442421304312212114
62440123332203331210
7113305650320553150
oct10012707343200066
91330237600804656
10282223300116534
1181a1a258407927
12277a0924220b06
13c162709ca261a
144d9997583bad0
15229642076d0a9
hex100ae3b8d0036

282223300116534 has 128 divisors (see below), whose sum is σ = 666456359362560. Its totient is φ = 77967857664000.

The previous prime is 282223300116529. The next prime is 282223300116539. The reversal of 282223300116534 is 435611003322282.

It is an interprime number because it is at equal distance from previous prime (282223300116529) and next prime (282223300116539).

It is a super-2 number, since 2×2822233001165342 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282223300116539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8447506422 + ... + 8447539830.

It is an arithmetic number, because the mean of its divisors is an integer number (5206690307520).

Almost surely, 2282223300116534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282223300116534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333228179681280).

282223300116534 is an abundant number, since it is smaller than the sum of its proper divisors (384233059246026).

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

282223300116534 is a wasteful number, since it uses less digits than its factorization.

282223300116534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38766.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 282223300116534 in words is "two hundred eighty-two trillion, two hundred twenty-three billion, three hundred million, one hundred sixteen thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1901 3413 3802 5703 6826 10239 11406 13307 20478 23891 26614 33409 39921 47782 58931 66818 71673 79842 100227 105803 117862 143346 176793 200454 211606 233863 317409 353586 412517 467726 634818 701589 740621 825034 1035679 1237551 1403178 1481242 2071358 2221863 2475102 3107037 4443726 6214074 6488113 7249753 12976226 14499506 19464339 21749259 38928678 43498518 45416791 63510509 90833582 114024917 127021018 136250373 190531527 201131503 228049834 272500746 342074751 381063054 402263006 444573563 603394509 684149502 798174419 889147126 1206789018 1333720689 1407920521 1596348838 1968825779 2394523257 2667441378 2815841042 3534772427 3937651558 4223761563 4789046514 5906477337 7069544854 8447523126 10604317281 11812954674 13781780453 21208634562 24743406989 27563560906 41345341359 49486813978 74230220967 82690682718 148460441934 216761367217 433522734434 650284101651 1300568203302 1517329570519 3034659141038 4551988711557 6719602383727 9103977423114 13439204767454 20158807151181 40317614302362 47037216686089 94074433372178 141111650058267 282223300116534