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8220225143856 = 24311192633115591
BaseRepresentation
bin111011110011110101110…
…0110011000010000110000
31002002211211121211211220210
41313213223212120100300
52034140010114100411
625252152545104120
71505614561566225
oct167475346302060
932084747754823
108220225143856
11268a1a587a360
12b09174928040
13478219139a7b
14205c0a8d194c
15e3c60cc9ca6
hex779eb998430

8220225143856 has 160 divisors (see below), whose sum is σ = 24478084730880. Its totient is φ = 2350899590400.

The previous prime is 8220225143803. The next prime is 8220225143863. The reversal of 8220225143856 is 6583415220228.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080621 + ... + 4196211.

It is an arithmetic number, because the mean of its divisors is an integer number (152988029568).

Almost surely, 28220225143856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220225143856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12239042365440).

8220225143856 is an abundant number, since it is smaller than the sum of its proper divisors (16257859587024).

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

8220225143856 is a wasteful number, since it uses less digits than its factorization.

8220225143856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115895 (or 3115889 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 8220225143856 in words is "eight trillion, two hundred twenty billion, two hundred twenty-five million, one hundred forty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 263 264 304 418 456 526 528 627 789 836 912 1052 1254 1578 1672 2104 2508 2893 3156 3344 4208 4997 5016 5786 6312 8679 9994 10032 11572 12624 14991 17358 19988 23144 29982 34716 39976 46288 54967 59964 69432 79952 109934 119928 138864 164901 219868 239856 329802 439736 659604 879472 1319208 2638416 3115591 6231182 9346773 12462364 18693546 24924728 34271501 37387092 49849456 59196229 68543002 74774184 102814503 118392458 137086004 149548368 177588687 205629006 236784916 274172008 355177374 411258012 473569832 548344016 651158519 710354748 819400433 822516024 947139664 1302317038 1420709496 1638800866 1645032048 1953475557 2458201299 2604634076 2841418992 3277601732 3906951114 4916402598 5209268152 6555203464 7813902228 9013404763 9832805196 10418536304 13110406928 15568608227 15627804456 18026809526 19665610392 27040214289 31137216454 31255608912 36053619052 39331220784 46705824681 54080428578 62274432908 72107238104 93411649362 108160857156 124548865816 144214476208 171254690497 186823298724 216321714312 249097731632 342509380994 373646597448 432643428624 513764071491 685018761988 747293194896 1027528142982 1370037523976 2055056285964 2740075047952 4110112571928 8220225143856