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34512420222 = 2347176472767
BaseRepresentation
bin100000001001000110…
…011011110101111110
310022002020012121020000
4200021012123311332
51031140134421342
623504344535130
72331151505640
oct401106336576
9108066177200
1034512420222
11137003a8145
1268321814a6
1333401c9c37
141955868890
15d6ed6c44c
hex80919bd7e

34512420222 has 160 divisors (see below), whose sum is σ = 93758404608. Its totient is φ = 9262957824.

The previous prime is 34512420209. The next prime is 34512420247. The reversal of 34512420222 is 22202421543.

34512420222 is a `hidden beast` number, since 3 + 4 + 5 + 12 + 420 + 222 = 666.

34512420222 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-2 number, since 2×345124202222 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12471483 + ... + 12474249.

Almost surely, 234512420222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34512420222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46879202304).

34512420222 is an abundant number, since it is smaller than the sum of its proper divisors (59245984386).

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

34512420222 is a wasteful number, since it uses less digits than its factorization.

34512420222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34512420222 its reverse (22202421543), we get a palindrome (56714841765).

The spelling of 34512420222 in words is "thirty-four billion, five hundred twelve million, four hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 647 714 918 1071 1134 1294 1377 1941 2142 2754 2767 3213 3882 4529 5534 5823 6426 8301 9058 9639 10999 11646 13587 16602 17469 19278 19369 21998 24903 27174 32997 34938 38738 40761 47039 49806 52407 58107 65994 74709 76993 81522 94078 98991 104814 116214 122283 141117 149418 153986 174321 197982 224127 230979 244566 282234 296973 329273 348642 366849 423351 448254 461958 522963 593946 658546 692937 733698 846702 890919 987819 1045926 1270053 1385874 1568889 1781838 1790249 1975638 2078811 2540106 2963457 3137778 3580498 3810159 4157622 5370747 5926914 6236433 7620318 8890371 10741494 12472866 12531743 16112241 17780742 25063486 26671113 30434233 32224482 37595229 48336723 53342226 60868466 75190458 91302699 96673446 112785687 145010169 182605398 213039631 225571374 273908097 290020338 338357061 426079262 547816194 639118893 676714122 821724291 1015071183 1278237786 1643448582 1917356679 2030142366 2465172873 3834713358 4930345746 5752070037 11504140074 17256210111 34512420222