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220761120220716 = 223293319371204517
BaseRepresentation
bin110010001100011111110100…
…001001101010011000101100
31001221122120001001001212122110
4302030133310021222120230
5212413422233234030331
62101304131503244020
764333315233432315
oct6214376411523054
91057576031055573
10220761120220716
11643832a1152489
1220914b985a9610
1396248b857a40a
143c72c7671d60c
151a7c783c5c946
hexc8c7f426a62c

220761120220716 has 96 divisors (see below), whose sum is σ = 534541203060480. Its totient is φ = 70826999443200.

The previous prime is 220761120220681. The next prime is 220761120220721. The reversal of 220761120220716 is 617022021167022.

It is a happy number.

It is a super-2 number, since 2×2207611202207162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079324490 + ... + 1079529006.

It is an arithmetic number, because the mean of its divisors is an integer number (5568137531880).

Almost surely, 2220761120220716 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 220761120220716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267270601530240).

220761120220716 is an abundant number, since it is smaller than the sum of its proper divisors (313780082839764).

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

220761120220716 is a wasteful number, since it uses less digits than its factorization.

220761120220716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214255 (or 214253 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

Adding to 220761120220716 its reverse (617022021167022), we get a palindrome (837783141387738).

The spelling of 220761120220716 in words is "two hundred twenty trillion, seven hundred sixty-one billion, one hundred twenty million, two hundred twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 331 348 662 993 1324 1986 3972 9371 9599 18742 19198 28113 28797 37484 38396 56226 57594 112452 115188 204517 271759 409034 543518 613551 815277 818068 1087036 1227102 1630554 2454204 3101801 3261108 5930993 6203602 9305403 11861986 12407204 17792979 18610806 23723972 35585958 37221612 67695127 71171916 89952229 135390254 179904458 203085381 269856687 270780508 359808916 406170762 539713374 812341524 1079426748 1916528807 1963158683 3833057614 3926317366 5749586421 5889476049 7666115228 7852634732 11499172842 11778952098 22998345684 23557904196 55579335403 111158670806 166738006209 222317341612 333476012418 634371035117 666952024836 1268742070234 1903113105351 2537484140468 3806226210702 7612452421404 18396760018393 36793520036786 55190280055179 73587040073572 110380560110358 220761120220716