Search a number
-
+
223301001220 = 225112433536079
BaseRepresentation
bin1100111111110111000…
…1101110000000000100
3210100101020020012010121
43033331301232000010
512124310024014340
6250325535231324
722063415123113
oct3177561560004
9710336205117
10223301001220
1186779659300
123733b078544
1318098869a6b
14ab44963c7a
155c1ddde94a
hex33fdc6e004

223301001220 has 144 divisors (see below), whose sum is σ = 529005818880. Its totient is φ = 79074293760.

The previous prime is 223301001199. The next prime is 223301001223. The reversal of 223301001220 is 22100103322.

223301001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 223301001194 and 223301001203.

It is not an unprimeable number, because it can be changed into a prime (223301001223) 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 47 ways as a sum of consecutive naturals, for example, 36730141 + ... + 36736219.

It is an arithmetic number, because the mean of its divisors is an integer number (3673651520).

Almost surely, 2223301001220 is an apocalyptic number.

223301001220 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 223301001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264502909440).

223301001220 is an abundant number, since it is smaller than the sum of its proper divisors (305704817660).

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

223301001220 is a wasteful number, since it uses less digits than its factorization.

223301001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6506 (or 6493 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 223301001220 its reverse (22100103322), we get a palindrome (245401104542).

The spelling of 223301001220 in words is "two hundred twenty-three billion, three hundred one million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 353 430 473 484 605 706 860 946 1210 1412 1765 1892 2365 2420 3530 3883 4730 5203 6079 7060 7766 9460 10406 12158 15179 15532 19415 20812 24316 26015 30358 30395 38830 42713 52030 60716 60790 66869 75895 77660 85426 104060 121580 133738 151790 166969 170852 213565 261397 267476 303580 333938 334345 427130 522794 667876 668690 735559 834845 854260 1045588 1306985 1337380 1471118 1669690 1836659 2145887 2613970 2875367 2942236 3339380 3673318 3677795 4291774 5227940 5750734 7346636 7355590 8583548 9183295 10729435 11501468 14376835 14711180 18366590 21458870 23604757 28753670 31629037 36733180 42917740 47209514 57507340 63258074 92273141 94419028 118023785 126516148 158145185 184546282 236047570 259652327 316290370 369092564 461365705 472095140 519304654 632580740 922731410 1015004551 1038609308 1298261635 1845462820 2030009102 2596523270 4060018204 5075022755 5193046540 10150045510 11165050061 20300091020 22330100122 44660200244 55825250305 111650500610 223301001220