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220814221401396 = 22337292082303441
BaseRepresentation
bin110010001101010001010001…
…001110100101110100110100
31001221211122002202022100102000
4302031101101032211310310
5212420310011134321041
62101344353010015300
764340205153141210
oct6215212116456464
91057748082270360
10220814221401396
11643a3870403477
1220923337b77530
1396298cb96969c
143c75672c73940
151a7dd409d0bb6
hexc8d4513a5d34

220814221401396 has 48 divisors (see below), whose sum is σ = 654264359710080. Its totient is φ = 63089777543040.

The previous prime is 220814221401349. The next prime is 220814221401409. The reversal of 220814221401396 is 693104122418022.

220814221401396 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 1 + 42 + 214 + 0 + 1 + 396 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146041150965 + ... + 146041152476.

It is an arithmetic number, because the mean of its divisors is an integer number (13630507493960).

Almost surely, 2220814221401396 is an apocalyptic number.

It is an amenable number.

220814221401396 is an abundant number, since it is smaller than the sum of its proper divisors (433450138308684).

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

220814221401396 is a wasteful number, since it uses less digits than its factorization.

220814221401396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292082303461 (or 292082303453 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 220814221401396 in words is "two hundred twenty trillion, eight hundred fourteen billion, two hundred twenty-one million, four hundred one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 292082303441 584164606882 876246910323 1168329213764 1752493820646 2044576124087 2628740730969 3504987641292 4089152248174 5257481461938 6133728372261 7886222192907 8178304496348 10514962923876 12267456744522 15772444385814 18401185116783 24534913489044 31544888771628 36802370233566 55203555350349 73604740467132 110407110700698 220814221401396