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2230202221230 = 235294787762191
BaseRepresentation
bin100000011101000010011…
…010010100001010101110
321220012112121221100012210
4200131002122110022232
5243014423232034410
64424312445311250
7320061330046134
oct40350232241256
97805477840183
102230202221230
1178a9070158a5
1230028a265526
131323cbacc969
1479d29bb9754
153d02cbc3220
hex207426942ae

2230202221230 has 128 divisors (see below), whose sum is σ = 5661402439680. Its totient is φ = 561345845760.

The previous prime is 2230202221199. The next prime is 2230202221237. The reversal of 2230202221230 is 321222020322.

It is a junction number, because it is equal to n+sod(n) for n = 2230202221197 and 2230202221206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230202221237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35829435 + ... + 35891625.

It is an arithmetic number, because the mean of its divisors is an integer number (44229706560).

Almost surely, 22230202221230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230202221230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830701219840).

2230202221230 is an abundant number, since it is smaller than the sum of its proper divisors (3431200218450).

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

2230202221230 is a wasteful number, since it uses less digits than its factorization.

2230202221230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63154.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2230202221230 its reverse (321222020322), we get a palindrome (2551424241552).

The spelling of 2230202221230 in words is "two trillion, two hundred thirty billion, two hundred two million, two hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 47 58 87 94 141 145 174 235 282 290 435 470 705 870 877 1363 1410 1754 2631 2726 4089 4385 5262 6815 8178 8770 13155 13630 20445 25433 26310 40890 41219 50866 62191 76299 82438 123657 124382 127165 152598 186573 206095 247314 254330 310955 373146 381495 412190 618285 621910 762990 932865 1195351 1236570 1803539 1865730 2390702 2922977 3586053 3607078 5410617 5845954 5976755 7172106 8768931 9017695 10821234 11953510 14614885 17537862 17930265 18035390 27053085 29229770 35860530 43844655 54106170 54541507 84766333 87689310 109083014 163624521 169532666 254298999 272707535 327249042 423831665 508597998 545415070 818122605 847663330 1271494995 1581703703 1636245210 2542989990 2563450829 3163407406 4745111109 5126901658 7690352487 7908518515 9490222218 12817254145 15380704974 15817037030 23725555545 25634508290 38451762435 47451111090 74340074041 76903524870 148680148082 223020222123 371700370205 446040444246 743400740410 1115101110615 2230202221230