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223221220 = 225174167239
BaseRepresentation
bin11010100111000…
…01010111100100
3120120000210221121
431103201113210
5424121034340
634052223324
75350230505
oct1523412744
9516023847
10223221220
11105003452
126290ab44
1337327981
1421908bac
15148e494a
hexd4e15e4

223221220 has 96 divisors (see below), whose sum is σ = 518192640. Its totient is φ = 80424960.

The previous prime is 223221161. The next prime is 223221227. The reversal of 223221220 is 22122322.

223221220 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232212203 (a number of 26 digits) contains 333 as substring.

223221220 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 223221194 and 223221203.

It is not an unprimeable number, because it can be changed into a prime (223221227) 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, 933861 + ... + 934099.

It is an arithmetic number, because the mean of its divisors is an integer number (5397840).

Almost surely, 2223221220 is an apocalyptic number.

223221220 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 223221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259096320).

223221220 is an abundant number, since it is smaller than the sum of its proper divisors (294971420).

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

223221220 is a wasteful number, since it uses less digits than its factorization.

223221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 223221220 is about 14940.5896804644. The cubic root of 223221220 is about 606.6131572711.

Adding to 223221220 its reverse (22122322), we get a palindrome (245343542).

The spelling of 223221220 in words is "two hundred twenty-three million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 67 68 82 85 134 164 170 205 239 268 335 340 410 478 670 697 820 956 1139 1195 1340 1394 2278 2390 2747 2788 3485 4063 4556 4780 5494 5695 6970 8126 9799 10988 11390 13735 13940 16013 16252 19598 20315 22780 27470 32026 39196 40630 46699 48995 54940 64052 80065 81260 93398 97990 160130 166583 186796 195980 233495 272221 320260 333166 466990 544442 656533 666332 832915 933980 1088884 1313066 1361105 1665830 2626132 2722210 3282665 3331660 5444420 6565330 11161061 13130660 22322122 44644244 55805305 111610610 223221220