Search a number
-
+
22030403022 = 23231437191277
BaseRepresentation
bin10100100001000111…
…010100010111001110
32002212100002102120200
4110201013110113032
5330104240344042
614042015554330
71406635223145
oct244107242716
962770072520
1022030403022
119385651951
124329b2b9a6
132101238544
1410cdc1675c
1588e136c4c
hex5211d45ce

22030403022 has 96 divisors (see below), whose sum is σ = 50527825920. Its totient is φ = 6926230080.

The previous prime is 22030403011. The next prime is 22030403159.

22030403022 is nontrivially palindromic in base 10.

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 = 22030402986 and 22030403004.

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, 17251048 + ... + 17252324.

It is an arithmetic number, because the mean of its divisors is an integer number (526331520).

Almost surely, 222030403022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22030403022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25263912960).

22030403022 is an abundant number, since it is smaller than the sum of its proper divisors (28497422898).

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

22030403022 is a wasteful number, since it uses less digits than its factorization.

22030403022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The spelling of 22030403022 in words is "twenty-two billion, thirty million, four hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 43 62 86 93 129 186 258 279 387 558 719 774 1277 1333 1438 2157 2554 2666 3831 3999 4314 6471 7662 7998 11493 11997 12942 22289 22986 23994 30917 39587 44578 54911 61834 66867 79174 92751 109822 118761 133734 164733 185502 200601 237522 278253 329466 356283 401202 494199 556506 712566 918163 958427 988398 1702241 1836326 1916854 2754489 2875281 3404482 5106723 5508978 5750562 8263467 8625843 10213446 15320169 16526934 17251686 28463053 30640338 39481009 56926106 78962018 85389159 118443027 170778318 236886054 256167477 355329081 512334954 710658162 1223911279 2447822558 3671733837 7343467674 11015201511 22030403022