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2221024520 = 2351113974003
BaseRepresentation
bin1000010001100010…
…0010010100001000
312201210020201212102
42010120202110020
514022040241040
61004220132532
7106016253101
oct20430422410
95653221772
102221024520
11a3a78a660
1251b997148
132951b31c0
14170d913a8
15ceec1515
hex84622508

2221024520 has 128 divisors (see below), whose sum is σ = 5932967040. Its totient is φ = 737648640.

The previous prime is 2221024501. The next prime is 2221024529. The reversal of 2221024520 is 254201222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2221024492 and 2221024501.

It is not an unprimeable number, because it can be changed into a prime (2221024529) 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, 552839 + ... + 556841.

It is an arithmetic number, because the mean of its divisors is an integer number (46351305).

Almost surely, 22221024520 is an apocalyptic number.

2221024520 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 2221024520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966483520).

2221024520 is an abundant number, since it is smaller than the sum of its proper divisors (3711942520).

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

2221024520 is a wasteful number, since it uses less digits than its factorization.

2221024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2221024520 is about 47127.7468164987. The cubic root of 2221024520 is about 1304.7213959745.

Adding to 2221024520 its reverse (254201222), we get a palindrome (2475225742).

It can be divided in two parts, 222102 and 4520, that added together give a palindrome (226622).

The spelling of 2221024520 in words is "two billion, two hundred twenty-one million, twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 97 104 110 130 143 194 220 260 286 388 440 485 520 572 715 776 970 1067 1144 1261 1430 1940 2134 2522 2860 3880 4003 4268 5044 5335 5720 6305 8006 8536 10088 10670 12610 13871 16012 20015 21340 25220 27742 32024 40030 42680 44033 50440 52039 55484 69355 80060 88066 104078 110968 138710 160120 176132 208156 220165 260195 277420 352264 388291 416312 440330 520390 554840 572429 776582 880660 1040780 1144858 1553164 1761320 1941455 2081560 2289716 2862145 3106328 3882910 4271201 4579432 5047783 5724290 7765820 8542402 10095566 11448580 15531640 17084804 20191132 21356005 22897160 25238915 34169608 40382264 42712010 50477830 55525613 85424020 100955660 111051226 170848040 201911320 222102452 277628065 444204904 555256130 1110512260 2221024520