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33222013220 = 22511331503907
BaseRepresentation
bin11110111100001011…
…111011000100100100
310011202022002010121002
4132330023323010210
51021014313410340
623132331012432
72254162311254
oct367413730444
9104668063532
1033222013220
11130a8a62280
126531b9a118
133195a704b6
141872323964
15ce6924715
hex7bc2fb124

33222013220 has 96 divisors (see below), whose sum is σ = 76574647296. Its totient is φ = 12007036800.

The previous prime is 33222013199. The next prime is 33222013229. The reversal of 33222013220 is 2231022233.

It is a super-2 number, since 2×332220132202 (a number of 22 digits) contains 22 as substring.

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 = 33222013192 and 33222013201.

It is not an unprimeable number, because it can be changed into a prime (33222013229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36628007 + ... + 36628913.

It is an arithmetic number, because the mean of its divisors is an integer number (797652576).

Almost surely, 233222013220 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 33222013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38287323648).

33222013220 is an abundant number, since it is smaller than the sum of its proper divisors (43352634076).

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

33222013220 is a wasteful number, since it uses less digits than its factorization.

33222013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33222013220 its reverse (2231022233), we get a palindrome (35453035453).

It can be divided in two parts, 33222013 and 220, that added together give a palindrome (33222233).

The spelling of 33222013220 in words is "thirty-three billion, two hundred twenty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 503 662 907 1006 1324 1655 1814 2012 2515 3310 3628 3641 4535 5030 5533 6620 7282 9070 9977 10060 11066 14564 18140 18205 19954 22132 27665 36410 39908 49885 55330 72820 99770 110660 166493 199540 300217 332986 456221 600434 665972 832465 912442 1200868 1501085 1664930 1824884 1831423 2281105 3002170 3302387 3329860 3662846 4562210 5018431 6004340 6604774 7325692 9124420 9157115 10036862 13209548 16511935 18314230 20073724 25092155 33023870 36628460 50184310 66047740 100368620 151009151 302018302 604036604 755045755 1510091510 1661100661 3020183020 3322201322 6644402644 8305503305 16611006610 33222013220