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220223041212114 = 23383295333734933
BaseRepresentation
bin110010000100101010101100…
…001001001000111011010010
31001212202010011101111002201000
4302010222230021020323102
5212331113242022241424
62100213022442522430
764246406154350103
oct6204525411107322
91055663141432630
10220223041212114
116419608161a246
122084884ab06416
1395b5c363503b5
143c54bd00dc3aa
151a6d7900ea3c9
hexc84aac248ed2

220223041212114 has 128 divisors (see below), whose sum is σ = 495695808357120. Its totient is φ = 72462505195008.

The previous prime is 220223041212103. The next prime is 220223041212127. The reversal of 220223041212114 is 411212140322022.

220223041212114 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 30 + 412 + 1 + 211 + 4 = 666.

It is a super-2 number, since 2×2202230412121142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44642819592 + ... + 44642824524.

It is an arithmetic number, because the mean of its divisors is an integer number (3872623502790).

Almost surely, 2220223041212114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220223041212114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247847904178560).

220223041212114 is an abundant number, since it is smaller than the sum of its proper divisors (275472767145006).

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

220223041212114 is a wasteful number, since it uses less digits than its factorization.

220223041212114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11353 (or 11347 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 220223041212114 its reverse (411212140322022), we get a palindrome (631435181534136).

The spelling of 220223041212114 in words is "two hundred twenty trillion, two hundred twenty-three billion, forty-one million, two hundred twelve thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1494 2241 2953 3373 4482 4933 5906 6746 8859 9866 10119 14799 17718 20238 26577 29598 30357 44397 53154 60714 79731 88794 91071 133191 159462 182142 245099 266382 279959 409439 490198 559918 735297 818878 839877 1228317 1470594 1679754 2205891 2456634 2519631 3684951 4411782 5039262 6617673 7369902 7558893 9960469 11054853 13235346 14567149 15117786 16639009 19920938 22109706 29134298 29881407 33278018 43701447 49917027 59762814 87402894 89644221 99834054 131104341 149751081 179288442 262208682 268932663 299502162 393313023 449253243 537865326 786626046 826718927 898506486 1209073367 1381037747 1653437854 2418146734 2480156781 2762075494 3627220101 4143113241 4960313562 7254440202 7440470343 8286226482 10881660303 12429339723 14880940686 21763320606 22321411029 24858679446 32644980909 37288019169 44642822058 49134993577 65289961818 74576038338 98269987154 147404980731 294809961462 442214942193 884429884386 1326644826579 2653289653158 4078204466891 8156408933782 12234613400673 24469226801346 36703840202019 73407680404038 110111520606057 220223041212114