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10022320220 = 22511223281727
BaseRepresentation
bin10010101010110000…
…00111100001011100
3221212110202121201012
421111120013201130
5131011203221340
64334301034352
7503235213323
oct112530074134
927773677635
1010022320220
11428337a580
121b385559b8
13c395039c3
146b10d30ba
153d9d1b565
hex25560785c

10022320220 has 96 divisors (see below), whose sum is σ = 23177097216. Its totient is φ = 3610252800.

The previous prime is 10022320213. The next prime is 10022320229. The reversal of 10022320220 is 2202322001.

It is a junction number, because it is equal to n+sod(n) for n = 10022320195 and 10022320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022320229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13785497 + ... + 13786223.

It is an arithmetic number, because the mean of its divisors is an integer number (241428096).

Almost surely, 210022320220 is an apocalyptic number.

10022320220 is a gapful number since it is divisible by the number (10) 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 10022320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588548608).

10022320220 is an abundant number, since it is smaller than the sum of its proper divisors (13154776996).

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

10022320220 is a wasteful number, since it uses less digits than its factorization.

10022320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10022320220 its reverse (2202322001), we get a palindrome (12224642221).

The spelling of 10022320220 in words is "ten billion, twenty-two million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 281 446 562 727 892 1115 1124 1405 1454 2230 2453 2810 2908 3091 3635 4460 4906 5620 6182 7270 7997 9812 12265 12364 14540 15455 15994 24530 30910 31988 39985 49060 61820 62663 79970 125326 159940 162121 204287 250652 313315 324242 408574 626630 648484 689293 810605 817148 1021435 1253260 1378586 1621210 1783331 2042870 2247157 2757172 3242420 3446465 3566662 4085740 4494314 6892930 7133324 8916655 8988628 11235785 13785860 17833310 22471570 35666620 44943140 45556001 91112002 182224004 227780005 455560010 501116011 911120020 1002232022 2004464044 2505580055 5011160110 10022320220