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220340480181 = 3372472149163
BaseRepresentation
bin1100110100110101010…
…0001110100010110101
3210001201220111010202020
43031031110032202311
512102224130331211
6245120101103353
721630146115333
oct3151524164265
9701656433666
10220340480181
118549a502aa8
12368536b7b59
1317a163c8b73
14a9436b6b53
155ae9048306
hex334d50e8b5

220340480181 has 72 divisors (see below), whose sum is σ = 312478941600. Its totient is φ = 138091402368.

The previous prime is 220340480177. The next prime is 220340480209. The reversal of 220340480181 is 181084043022.

220340480181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220340480181 - 22 = 220340480177 is a prime.

It is a super-2 number, since 2×2203404801812 (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 (220340480141) 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 71 ways as a sum of consecutive naturals, for example, 1351782006 + ... + 1351782168.

It is an arithmetic number, because the mean of its divisors is an integer number (4339985300).

Almost surely, 2220340480181 is an apocalyptic number.

It is an amenable number.

220340480181 is a deficient number, since it is larger than the sum of its proper divisors (92138461419).

220340480181 is a wasteful number, since it uses less digits than its factorization.

220340480181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 220340480181 in words is "two hundred twenty billion, three hundred forty million, four hundred eighty thousand, one hundred eighty-one".

Divisors: 1 3 37 47 111 141 149 163 447 489 1369 1739 2209 4107 5217 5513 6031 6627 7003 7661 16539 18093 21009 22983 24287 64343 72861 81733 193029 203981 223147 245199 259111 283457 329141 360067 611943 669441 777333 850371 898619 987423 1080201 1141489 2695857 3024121 3424467 9072363 9587107 10487909 12178217 13322479 28761321 31463727 33248903 36534651 39967437 42235093 53649983 99746709 126705279 160949949 450594029 492931723 1351782087 1478795169 1562698441 1985049371 4688095323 5955148113 73446826727 220340480181