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223223342130 = 23451092938629
BaseRepresentation
bin1100111111100100100…
…1011110010000110010
3210100011211002200220000
43033321021132100302
512124130133422010
6250314122530430
722061453046555
oct3177111362062
9710154080800
10223223342130
1186739836938
1237319066a16
1318085749039
14ab3850a69c
155c1719e7c0
hex33f925e432

223223342130 has 160 divisors (see below), whose sum is σ = 607867167600. Its totient is φ = 58772003328.

The previous prime is 223223342053. The next prime is 223223342149. The reversal of 223223342130 is 31243322322.

223223342130 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 233 + 421 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 198815216769 + 24408125361 = 445887^2 + 156231^2 .

It is a super-3 number, since 3×2232233421303 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223223342094 and 223223342103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25864656 + ... + 25873284.

Almost surely, 2223223342130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223223342130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303933583800).

223223342130 is an abundant number, since it is smaller than the sum of its proper divisors (384643825470).

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

223223342130 is a wasteful number, since it uses less digits than its factorization.

223223342130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9041 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 223223342130 its reverse (31243322322), we get a palindrome (254466664452).

The spelling of 223223342130 in words is "two hundred twenty-three billion, two hundred twenty-three million, three hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 293 327 405 545 586 654 810 879 981 1090 1465 1635 1758 1962 2637 2930 2943 3270 4395 4905 5274 5886 7911 8629 8790 8829 9810 13185 14715 15822 17258 17658 23733 25887 26370 29430 31937 39555 43145 44145 47466 51774 63874 77661 79110 86290 88290 95811 118665 129435 155322 159685 191622 232983 237330 258870 287433 319370 388305 465966 479055 574866 698949 776610 862299 940561 958110 1164915 1397898 1437165 1724598 1881122 2329830 2528297 2586897 2821683 2874330 3494745 4311495 4702805 5056594 5173794 5643366 6989490 7584891 8465049 8622990 9405610 12641485 12934485 14108415 15169782 16930098 22754673 25282970 25395147 25868970 28216830 37924455 42325245 45509346 50790294 68264019 75848910 76185441 84650490 113773365 126975735 136528038 152370882 204792057 227546730 253951470 275584373 341320095 380927205 409584114 551168746 682640190 761854410 826753119 1023960285 1377921865 1653506238 2047920570 2480259357 2755843730 4133765595 4960518714 7440778071 8267531190 12401296785 14881556142 22322334213 24802593570 37203890355 44644668426 74407780710 111611671065 223223342130