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22120020020 = 22572192634517
BaseRepresentation
bin10100100110011101…
…001011100000110100
32010002120201102222202
4110212131023200310
5330300211120040
614054540444032
71412104032200
oct244635134064
963076642882
1022120020020
1194211a148a
124353b49618
132116985057
1410dbaa3b00
15896e3a015
hex52674b834

22120020020 has 144 divisors (see below), whose sum is σ = 57108965760. Its totient is φ = 7155945216.

The previous prime is 22120020007. The next prime is 22120020037. The reversal of 22120020020 is 2002002122.

It is a junction number, because it is equal to n+sod(n) for n = 22120019983 and 22120020010.

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, 4894802 + ... + 4899318.

It is an arithmetic number, because the mean of its divisors is an integer number (396590040).

Almost surely, 222120020020 is an apocalyptic number.

22120020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28554482880).

22120020020 is an abundant number, since it is smaller than the sum of its proper divisors (34988945740).

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

22120020020 is a wasteful number, since it uses less digits than its factorization.

22120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22120020020 its reverse (2002002122), we get a palindrome (24122022142).

The spelling of 22120020020 in words is "twenty-two billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 263 266 380 490 526 532 665 931 980 1052 1315 1330 1841 1862 2630 2660 3682 3724 4517 4655 4997 5260 7364 9034 9205 9310 9994 12887 18068 18410 18620 19988 22585 24985 25774 31619 34979 36820 45170 49970 51548 63238 64435 69958 85823 90340 99940 126476 128870 139916 158095 171646 174895 221333 244853 257740 316190 343292 349790 429115 442666 489706 600761 632380 699580 858230 885332 979412 1106665 1187971 1201522 1224265 1716460 2213330 2375942 2403044 2448530 3003805 4205327 4426660 4751884 4897060 5939855 6007610 8315797 8410654 11879710 12015220 16631594 16821308 21026635 22571449 23759420 33263188 41578985 42053270 45142898 58210579 83157970 84106540 90285796 112857245 116421158 158000143 166315940 225714490 232842316 291052895 316000286 451428980 582105790 632000572 790000715 1106001001 1164211580 1580001430 2212002002 3160002860 4424004004 5530005005 11060010010 22120020020