Search a number
-
+
220329823842 = 2361926472
BaseRepresentation
bin1100110100110010101…
…1100100111001100010
3210001201011102202000000
43031030223210321202
512102213413330332
6245115040440430
721626656413312
oct3151453447142
9701634382000
10220329823842
1185494494807
1236850019116
1317a1413763b
14a942101442
155ae8140b7c
hex334cae4e62

220329823842 has 126 divisors (see below), whose sum is σ = 523777350843. Its totient is φ = 69470299944.

The previous prime is 220329823837. The next prime is 220329823859. The reversal of 220329823842 is 248328923022.

It is a happy number.

220329823842 is a `hidden beast` number, since 220 + 329 + 8 + 23 + 84 + 2 = 666.

220329823842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110164911921 + 110164911921 = 331911^2 + 331911^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331911.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 340540363 + ... + 340541009.

Almost surely, 2220329823842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220329823842

220329823842 is an abundant number, since it is smaller than the sum of its proper divisors (303447527001).

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

220329823842 is an frugal number, since it uses more digits than its factorization.

220329823842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 220329823842 in words is "two hundred twenty billion, three hundred twenty-nine million, eight hundred twenty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 647 722 729 1026 1083 1294 1458 1539 1941 2166 3078 3249 3882 4617 5823 6498 9234 9747 11646 12293 13851 17469 19494 24586 27702 29241 34938 36879 52407 58482 73758 87723 104814 110637 157221 175446 221274 233567 263169 314442 331911 418609 467134 471663 526338 663822 700701 837218 943326 995733 1255827 1401402 1991466 2102103 2511654 2987199 3767481 4204206 5974398 6306309 7534962 7953571 8961597 11302443 12612618 15907142 17923194 18918927 22604886 23860713 33907329 37837854 47721426 56756781 67814658 71582139 101721987 113513562 143164278 151117849 170270343 203443974 214746417 302235698 305165961 340540686 429492834 453353547 610331922 644239251 906707094 1288478502 1360060641 1932717753 2720121282 3865435506 4080181923 5798153259 8160363846 11596306518 12240545769 24481091538 36721637307 73443274614 110164911921 220329823842