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22200202220 = 22575310927449
BaseRepresentation
bin10100101011001111…
…000011001111101100
32010022011121010021212
4110223033003033230
5330431222432340
614110523213552
71414066414430
oct245317031754
963264533255
1022200202220
119462487569
1243769772b8
13212a47a341
1411085b69c0
1589dec7a65
hex52b3c33ec

22200202220 has 96 divisors (see below), whose sum is σ = 54785808000. Its totient is φ = 7399102464.

The previous prime is 22200202217. The next prime is 22200202223. The reversal of 22200202220 is 2220200222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22200202217) and next prime (22200202223).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22200202195 and 22200202204.

It is not an unprimeable number, because it can be changed into a prime (22200202223) 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, 795056 + ... + 822504.

It is an arithmetic number, because the mean of its divisors is an integer number (570685500).

Almost surely, 222200202220 is an apocalyptic number.

22200202220 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 22200202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27392904000).

22200202220 is an abundant number, since it is smaller than the sum of its proper divisors (32585605780).

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

22200202220 is a wasteful number, since it uses less digits than its factorization.

22200202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27627 (or 27625 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 22200202220 its reverse (2220200222), we get a palindrome (24420402442).

The spelling of 22200202220 in words is "twenty-two billion, two hundred million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 109 140 212 218 265 371 436 530 545 742 763 1060 1090 1484 1526 1855 2180 3052 3710 3815 5777 7420 7630 11554 15260 23108 27449 28885 40439 54898 57770 80878 109796 115540 137245 161756 192143 202195 274490 384286 404390 548980 768572 808780 960715 1454797 1921430 2909594 2991941 3842860 5819188 5983882 7273985 10183579 11967764 14547970 14959705 20367158 20943587 29095940 29919410 40734316 41887174 50917895 59838820 83774348 101835790 104717935 158572873 203671580 209435870 317145746 418871740 634291492 792864365 1110010111 1585728730 2220020222 3171457460 4440040444 5550050555 11100101110 22200202220