Search a number
-
+
220486968048 = 24341516721683
BaseRepresentation
bin1100110101011000001…
…1000010001011110000
3210002010010010111022210
43031112003002023300
512103024130434143
6245142412532120
721633605206554
oct3152603021360
9702103114283
10220486968048
1185565166556
1236894781040
1317a3a868289
14a958d29864
155b06d32033
hex33560c22f0

220486968048 has 80 divisors (see below), whose sum is σ = 583623645696. Its totient is φ = 71685895680.

The previous prime is 220486968047. The next prime is 220486968077. The reversal of 220486968048 is 840869684022.

It is a super-2 number, since 2×2204869680482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220486968043) 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, 10157815 + ... + 10179497.

Almost surely, 2220486968048 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 220486968048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291811822848).

220486968048 is an abundant number, since it is smaller than the sum of its proper divisors (363136677648).

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

220486968048 is a wasteful number, since it uses less digits than its factorization.

220486968048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26902 (or 26896 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 220486968048 in words is "two hundred twenty billion, four hundred eighty-six million, nine hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 5167 10334 15501 20668 21683 31002 41336 43366 62004 65049 82672 86732 124008 130098 173464 211847 248016 260196 346928 423694 520392 635541 847388 889003 1040784 1271082 1694776 1778006 2542164 2667009 3389552 3556012 5084328 5334018 7112024 10168656 10668036 14224048 21336072 42672144 112036061 224072122 336108183 448144244 672216366 896288488 1344432732 1792576976 2688865464 4593478501 5377730928 9186957002 13780435503 18373914004 27560871006 36747828008 55121742012 73495656016 110243484024 220486968048