Search a number
-
+
220220020020222 = 2342815039617617
BaseRepresentation
bin110010000100100111111000…
…000100001101001111111110
31001212201211100211120122120000
4302010213320010031033332
5212331041100111121342
62100211403000135130
764246241250552345
oct6204477004151776
91055654324518500
10220220020020222
11641948711a5042
12208481471674a6
1395b58744590a1
143c549c4b7ab5c
151a6d664c6c44c
hexc849f810d3fe

220220020020222 has 80 divisors (see below), whose sum is σ = 496196610430752. Its totient is φ = 73000013667840.

The previous prime is 220220020020193. The next prime is 220220020020263. The reversal of 220220020020222 is 222020020022022.

220220020020222 is a `hidden beast` number, since 2 + 2 + 0 + 220 + 0 + 200 + 20 + 222 = 666.

220220020020222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220220020020195 and 220220020020204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18088758 + ... + 27706374.

Almost surely, 2220220020020222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220220020020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248098305215376).

220220020020222 is an abundant number, since it is smaller than the sum of its proper divisors (275976590410530).

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

220220020020222 is a wasteful number, since it uses less digits than its factorization.

220220020020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9618415 (or 9618406 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 220220020020222 its reverse (222020020022022), we get a palindrome (442240040042244).

The spelling of 220220020020222 in words is "two hundred twenty trillion, two hundred twenty billion, twenty million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 281 503 562 843 1006 1509 1686 2529 3018 4527 5058 7587 9054 13581 15174 22761 27162 40743 45522 81486 141343 282686 424029 848058 1272087 2544174 3816261 7632522 9617617 11448783 19235234 22897566 28852851 57705702 86558553 173117106 259675659 519351318 779026977 1558053954 2702550377 4837661351 5405100754 8107651131 9675322702 14512984053 16215302262 24322953393 29025968106 43538952159 48645906786 72968860179 87077904318 130616856477 145937720358 218906580537 261233712954 391850569431 437813161074 783701138862 1359382839631 2718765679262 4078148518893 8156297037786 12234445556679 24468891113358 36703336670037 73406673340074 110110010010111 220220020020222