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22303220220 = 22325438932377
BaseRepresentation
bin10100110001011000…
…000010000111111100
32010120100102222102100
4110301120002013330
5331134111021340
614125043225100
71416460146441
oct246130020774
963510388370
1022303220220
11950564a506
1243a5378190
132145909738
1411181519c8
158a8076830
hex5316021fc

22303220220 has 144 divisors (see below), whose sum is σ = 70006416480. Its totient is φ = 5743761408.

The previous prime is 22303220113. The next prime is 22303220279. The reversal of 22303220220 is 2202230322.

22303220220 is a `hidden beast` number, since 223 + 0 + 3 + 220 + 220 = 666.

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 = 22303220193 and 22303220202.

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, 672672 + ... + 705048.

It is an arithmetic number, because the mean of its divisors is an integer number (486155670).

Almost surely, 222303220220 is an apocalyptic number.

22303220220 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 22303220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35003208240).

22303220220 is an abundant number, since it is smaller than the sum of its proper divisors (47703196260).

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

22303220220 is a wasteful number, since it uses less digits than its factorization.

22303220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32524 (or 32519 counting only the distinct ones).

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

Adding to 22303220220 its reverse (2202230322), we get a palindrome (24505450542).

The spelling of 22303220220 in words is "twenty-two billion, three hundred three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 89 90 129 172 178 180 215 258 267 356 387 430 445 516 534 645 774 801 860 890 1068 1290 1335 1548 1602 1780 1935 2580 2670 3204 3827 3870 4005 5340 7654 7740 8010 11481 15308 16020 19135 22962 32377 34443 38270 45924 57405 64754 68886 76540 97131 114810 129508 137772 161885 172215 194262 229620 291393 323770 344430 388524 485655 582786 647540 688860 971310 1165572 1392211 1456965 1942620 2784422 2881553 2913930 4176633 5568844 5763106 5827860 6961055 8353266 8644659 11526212 12529899 13922110 14407765 16706532 17289318 20883165 25059798 25933977 27844220 28815530 34578636 41766330 43223295 50119596 51867954 57631060 62649495 83532660 86446590 103735908 123906779 125298990 129669885 172893180 247813558 250597980 259339770 371720337 495627116 518679540 619533895 743440674 1115161011 1239067790 1486881348 1858601685 2230322022 2478135580 3717203370 4460644044 5575805055 7434406740 11151610110 22303220220