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22220103301024 = 2529107271982301
BaseRepresentation
bin1010000110101100001010…
…10111010011011110100000
32220200012222012111112201211
411003112011113103132200
510403023232421113044
6115131435144435504
74452230605512016
oct503260527233640
986605865445654
1022220103301024
117097547044692
1225aa4a3778b94
13c52467a70065
1456b65cac48b6
15287ee115b634
hex1435855d37a0

22220103301024 has 96 divisors (see below), whose sum is σ = 45694597132800. Its totient is φ = 10622657203200.

The previous prime is 22220103300961. The next prime is 22220103301043. The reversal of 22220103301024 is 42010330102222.

22220103301024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 22220103300986 and 22220103301004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269944674 + ... + 270026974.

It is an arithmetic number, because the mean of its divisors is an integer number (475985386800).

Almost surely, 222220103301024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22220103301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22847298566400).

22220103301024 is an abundant number, since it is smaller than the sum of its proper divisors (23474493831776).

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

22220103301024 is a wasteful number, since it uses less digits than its factorization.

22220103301024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85166 (or 85158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22220103301024 its reverse (42010330102222), we get a palindrome (64230433403246).

The spelling of 22220103301024 in words is "twenty-two trillion, two hundred twenty billion, one hundred three million, three hundred one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 107 116 214 232 428 464 856 928 1712 2719 3103 3424 5438 6206 10876 12412 21752 24824 43504 49648 78851 82301 87008 99296 157702 164602 290933 315404 329204 581866 630808 658408 1163732 1261616 1316816 2327464 2386729 2523232 2633632 4654928 4773458 8437057 8806207 9309856 9546916 16874114 17612414 19093832 33748228 35224828 38187664 67496456 70449656 76375328 134992912 140899312 223776419 255380003 269985824 281798624 447552838 510760006 895105676 1021520012 1790211352 2043040024 3580422704 4086080048 6489516151 7160845408 8172160096 12979032302 23944076833 25958064604 47888153666 51916129208 95776307332 103832258416 191552614664 207664516832 383105229328 694378228157 766210458656 1388756456314 2777512912628 5555025825256 11110051650512 22220103301024