Search a number
-
+
222000120221012 = 227217235354656839
BaseRepresentation
bin110010011110100001101110…
…010011100100110101010100
31002010001000010002011021102022
4302132201232103210311110
5213044222221234033022
62104053240341232312
764521656634606200
oct6236415623446524
91063030102137368
10222000120221012
11648107a4373a81
1220a9513b102698
1396b46a19aa673
143cb6c126a7b00
151a9eaec74dc42
hexc9e86e4e4d54

222000120221012 has 144 divisors (see below), whose sum is σ = 508738870644480. Its totient is φ = 84036856071168.

The previous prime is 222000120220993. The next prime is 222000120221069. The reversal of 222000120221012 is 210122021000222.

It is a happy number.

222000120221012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2220001202210123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23266712 + ... + 31390127.

It is an arithmetic number, because the mean of its divisors is an integer number (3532908823920).

Almost surely, 2222000120221012 is an apocalyptic number.

It is an amenable number.

222000120221012 is an abundant number, since it is smaller than the sum of its proper divisors (286738750423468).

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

222000120221012 is a wasteful number, since it uses less digits than its factorization.

222000120221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54656950 (or 54656941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222000120221012 its reverse (210122021000222), we get a palindrome (432122141221234).

The spelling of 222000120221012 in words is "two hundred twenty-two trillion, one hundred twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 53 68 92 98 106 119 161 196 212 238 322 371 391 476 644 742 782 833 901 1127 1219 1484 1564 1666 1802 2254 2438 2597 2737 3332 3604 4508 4876 5194 5474 6307 8533 10388 10948 12614 17066 19159 20723 25228 34132 38318 41446 44149 59731 76636 82892 88298 119462 145061 176596 238924 290122 580244 1015427 2030854 4061708 54656839 109313678 218627356 382597873 765195746 929166263 1257107297 1530391492 1858332526 2514214594 2678185111 2896812467 3716665052 5028429188 5356370222 5793624934 6504163841 8799751079 10712740444 11587249868 13008327682 17599502158 20277687269 21370824049 26016655364 35199004316 40555374538 42741648098 45529146887 49245811939 61598257553 66626686741 81110749076 85483296196 91058293774 98491623878 123196515106 133253373482 141943810883 149595768343 182116587548 196983247756 246393030212 266506746964 283887621766 299191536686 344720683573 466386807187 567775243532 598383073372 689441367146 932773614374 1047170378401 1132653674597 1378882734292 1865547228748 2094340756802 2265307349194 2413044785011 3264707650309 4188681513604 4530614698388 4826089570022 6529415300618 7928575722179 9652179140044 13058830601236 15857151444358 31714302888716 55500030055253 111000060110506 222000120221012